103:@0.917174:0.510692:0.945535:0.510692:0.945535:0.494068:0.917174:0.494068:0.000000:0.000000:0.000000
7. :@0.514437:0.101371:0.533178:0.101371:0.533178:0.084235:0.514437:0.084235:0.000000:0.000000:0.000000
La figura muestra un triángulo isósceles y las :@0.547680:0.101371:0.888721:0.101371:0.888721:0.084982:0.547680:0.084982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alturas a los lados iguales.:@0.547680:0.117968:0.734923:0.117968:0.734923:0.101579:0.547680:0.101579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514437:0.282839:0.518159:0.282839:0.518159:0.265703:0.514437:0.265703:0.000000
A:@0.648972:0.270202:0.657968:0.270202:0.657968:0.255328:0.648972:0.255328:0.000000
B:@0.773576:0.270202:0.781617:0.270202:0.781617:0.255328:0.773576:0.255328:0.000000
E:@0.664552:0.226447:0.671939:0.226447:0.671939:0.211574:0.664552:0.211574:0.000000
F:@0.712447:0.250776:0.719768:0.250776:0.719768:0.235902:0.712447:0.235902:0.000000
D:@0.762319:0.224486:0.772806:0.224486:0.772806:0.209612:0.762319:0.209612:0.000000
C:@0.712782:0.145729:0.721795:0.145729:0.721795:0.130855:0.712782:0.130855:0.000000
a) :@0.547679:0.306568:0.566401:0.306568:0.566401:0.289667:0.547679:0.289667:0.000000:0.000000:0.000000
Justifica:@0.580922:0.306568:0.642378:0.306568:0.642378:0.289944:0.580922:0.289944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 por qué los triángulos :@0.642378:0.306568:0.836071:0.306568:0.836071:0.290179:0.642378:0.290179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.842336:0.307245:0.853614:0.307245:0.853614:0.291672:0.842336:0.291672:0.000000
ACD:@0.853614:0.306568:0.884646:0.306568:0.884646:0.290206:0.853614:0.290206:0.000000:0.000000:0.000000
   :@0.884646:0.306568:0.888682:0.306568:0.888682:0.290179:0.884646:0.290179:0.000000:0.000000:0.000000
y :@0.580922:0.323164:0.593066:0.323164:0.593066:0.306775:0.580922:0.306775:0.000000:0.000000
Δ:@0.593066:0.323842:0.604344:0.323842:0.604344:0.308269:0.593066:0.308269:0.000000
BCE:@0.604344:0.323164:0.631229:0.323164:0.631229:0.306803:0.604344:0.306803:0.000000:0.000000:0.000000
 son congruentes.:@0.631229:0.323164:0.762064:0.323164:0.762064:0.306775:0.631229:0.306775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. :@0.120581:0.101367:0.139322:0.101367:0.139322:0.084232:0.120581:0.084232:0.000000:0.000000:0.000000
En  la  figura,  el  triángulo :@0.153825:0.101367:0.342817:0.101367:0.342817:0.084978:0.153825:0.084978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.345986:0.102045:0.357264:0.102045:0.357264:0.086472:0.345986:0.086472:0.000000
ABC:@0.357264:0.101367:0.385919:0.101367:0.385919:0.085006:0.357264:0.085006:0.000000:0.000000:0.000000
  es  equilátero  :@0.385919:0.101367:0.494552:0.101367:0.494552:0.084978:0.385919:0.084978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.153825:0.123164:0.158708:0.123164:0.158708:0.106775:0.153825:0.106775:0.000000
—:@0.158892:0.114506:0.177320:0.114506:0.177320:0.098117:0.158892:0.098117:0.000000
AB:@0.158708:0.123302:0.177449:0.123302:0.177449:0.106941:0.158708:0.106941:0.000000:0.000000
 = :@0.179421:0.123150:0.197775:0.123150:0.197775:0.106761:0.179421:0.106761:0.000000:0.000000:0.000000
—:@0.197277:0.114492:0.215705:0.114492:0.215705:0.098103:0.197277:0.098103:0.000000
BC:@0.197093:0.123288:0.215852:0.123288:0.215852:0.106927:0.197093:0.106927:0.000000:0.000000
 = :@0.217750:0.123136:0.236104:0.123136:0.236104:0.106747:0.217750:0.106747:0.000000:0.000000:0.000000
—:@0.235607:0.114479:0.254034:0.114479:0.254034:0.098090:0.235607:0.098090:0.000000
CD:@0.235422:0.123275:0.256872:0.123275:0.256872:0.106913:0.235422:0.106913:0.000000:0.000000
), los puntos :@0.259212:0.123122:0.350687:0.123122:0.350687:0.106734:0.259212:0.106734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D, E F:@0.349987:0.123122:0.398028:0.123122:0.398028:0.106761:0.349987:0.106761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y   son los pun-:@0.375196:0.123122:0.490498:0.123122:0.490498:0.106734:0.375196:0.106734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tos medios de los lados del :@0.153843:0.144919:0.365134:0.144919:0.365134:0.128530:0.153843:0.128530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.366903:0.145597:0.378181:0.145597:0.378181:0.130024:0.366903:0.130024:0.000000
ABC:@0.378181:0.144919:0.406836:0.144919:0.406836:0.128558:0.378181:0.128558:0.000000:0.000000:0.000000
 y :@0.406836:0.144919:0.424785:0.144919:0.424785:0.128530:0.406836:0.128530:0.000000:0.000000:0.000000
—:@0.426720:0.136261:0.445147:0.136261:0.445147:0.119872:0.426720:0.119872:0.000000
AB:@0.426535:0.145057:0.445276:0.145057:0.445276:0.128696:0.426535:0.128696:0.000000:0.000000
 || :@0.447248:0.144905:0.464902:0.144905:0.464902:0.128516:0.447248:0.128516:0.000000:0.000000:0.000000:0.000000
—:@0.466855:0.136247:0.485283:0.136247:0.485283:0.119859:0.466855:0.119859:0.000000
EF:@0.466671:0.145043:0.482850:0.145043:0.482850:0.128682:0.466671:0.128682:0.000000:0.000000
, :@0.487328:0.144891:0.494570:0.144891:0.494570:0.128502:0.487328:0.128502:0.000000:0.000000
 :@0.490534:0.144891:0.494570:0.144891:0.494570:0.128502:0.490534:0.128502:0.000000
— —:@0.154027:0.158030:0.209052:0.158016:0.209052:0.141627:0.154027:0.141641:0.000000:0.000000:0.000000
BC DF:@0.153843:0.166826:0.210029:0.166812:0.210029:0.150451:0.153843:0.150465:0.000000:0.000000:0.000000:0.000000:0.000000
 || :@0.174556:0.166674:0.190440:0.166674:0.190440:0.150285:0.174556:0.150285:0.000000:0.000000:0.000000:0.000000
.:@0.211098:0.166660:0.214304:0.166660:0.214304:0.150271:0.211098:0.150271:0.000000
C:@0.316102:0.195284:0.325115:0.195284:0.325115:0.180410:0.316102:0.180410:0.000000
F:@0.258224:0.255119:0.265545:0.255119:0.265545:0.240245:0.258224:0.240245:0.000000
E:@0.374218:0.255119:0.381605:0.255119:0.381605:0.240245:0.374218:0.240245:0.000000
B:@0.403164:0.321555:0.411205:0.321555:0.411205:0.306681:0.403164:0.306681:0.000000
D:@0.315365:0.321555:0.325852:0.321555:0.325852:0.306681:0.315365:0.306681:0.000000
A:@0.227230:0.321555:0.236226:0.321555:0.236226:0.306681:0.227230:0.306681:0.000000
a) :@0.153820:0.357068:0.172542:0.357068:0.172542:0.340168:0.153820:0.340168:0.000000:0.000000:0.000000
Prueba:@0.187063:0.357068:0.241351:0.357068:0.241351:0.340444:0.187063:0.340444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que :@0.241351:0.357068:0.278335:0.357068:0.278335:0.340680:0.241351:0.340680:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.278722:0.348411:0.297150:0.348411:0.297150:0.332022:0.278722:0.332022:0.000000
AD:@0.278538:0.357207:0.299969:0.357207:0.299969:0.340845:0.278538:0.340845:0.000000:0.000000
 = :@0.303231:0.357055:0.322488:0.357055:0.322488:0.340666:0.303231:0.340666:0.000000:0.000000:0.000000
—:@0.322875:0.348397:0.341302:0.348397:0.341302:0.332008:0.322875:0.332008:0.000000
EF:@0.322691:0.357193:0.338870:0.357193:0.338870:0.340832:0.322691:0.340832:0.000000:0.000000
 utilizando el primer :@0.343348:0.357041:0.494584:0.357041:0.494584:0.340652:0.343348:0.340652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teorema de Thales.:@0.187082:0.373637:0.324753:0.373637:0.324753:0.357248:0.187082:0.357248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153106:0.627582:0.173137:0.627582:0.173137:0.610681:0.153106:0.610681:0.000000:0.000000:0.000000
Prueba:@0.186349:0.627582:0.240637:0.627582:0.240637:0.610958:0.186349:0.610958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que :@0.240637:0.627582:0.277419:0.627582:0.277419:0.611193:0.240637:0.611193:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.277419:0.628259:0.288697:0.628259:0.288697:0.612687:0.277419:0.612687:0.000000
ADF    CEF:@0.288697:0.627582:0.372303:0.627582:0.372303:0.611221:0.288697:0.611221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅ Δ:@0.321498:0.628259:0.346209:0.628259:0.346209:0.612687:0.321498:0.612687:0.000000:0.000000:0.000000
.:@0.372303:0.627582:0.375509:0.627582:0.375509:0.611193:0.372303:0.611193:0.000000
b) :@0.547236:0.600792:0.567267:0.600792:0.567267:0.583892:0.547236:0.583892:0.000000:0.000000:0.000000
¿Serán congruentes los triángulos :@0.580480:0.600792:0.840444:0.600792:0.840444:0.584404:0.580480:0.584404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.843110:0.601470:0.854388:0.601470:0.854388:0.585897:0.843110:0.585897:0.000000
ABD :@0.854388:0.600792:0.887982:0.600792:0.887982:0.584431:0.854388:0.584431:0.000000:0.000000:0.000000:0.000000
 :@0.884665:0.600792:0.887982:0.600792:0.887982:0.584431:0.884665:0.584431:0.000000
y  ABE:@0.580498:0.617389:0.629442:0.617389:0.629442:0.601028:0.580498:0.601028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.591297:0.618067:0.602575:0.618067:0.602575:0.602494:0.591297:0.602494:0.000000
? :@0.629442:0.617389:0.640499:0.617389:0.640499:0.601000:0.629442:0.601000:0.000000:0.000000
Justifica:@0.640499:0.617389:0.701955:0.617389:0.701955:0.600765:0.640499:0.600765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tu respuesta.:@0.701955:0.617389:0.799584:0.617389:0.799584:0.601000:0.701955:0.601000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8. :@0.514011:0.783090:0.532734:0.783090:0.532734:0.765954:0.514011:0.765954:0.000000:0.000000:0.000000
¿Qué ángulos y lados utilizarías para probar :@0.547236:0.783090:0.888719:0.783090:0.888719:0.766701:0.547236:0.766701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por ALA que :@0.547236:0.799686:0.643281:0.799686:0.643281:0.783297:0.547236:0.783297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.643281:0.800364:0.654559:0.800364:0.654559:0.784791:0.643281:0.784791:0.000000
AEF    BDF:@0.654559:0.799686:0.737096:0.799686:0.737096:0.783325:0.654559:0.783325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅ Δ:@0.683951:0.800364:0.708662:0.800364:0.708662:0.784791:0.683951:0.784791:0.000000:0.000000:0.000000
? ¿Por qué?:@0.737096:0.799686:0.818952:0.799686:0.818952:0.783297:0.737096:0.783297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(F es el punto medio de :@0.163422:0.492788:0.317678:0.492788:0.317678:0.477889:0.163422:0.477889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.343103:0.407618:0.352208:0.407618:0.352208:0.393603:0.343103:0.393603:0.000000
=:@0.382725:0.407618:0.391830:0.407618:0.391830:0.393603:0.382725:0.393603:0.000000
+:@0.417039:0.418833:0.426144:0.418833:0.426144:0.404818:0.417039:0.404818:0.000000
=:@0.346835:0.445246:0.355940:0.445246:0.355940:0.431231:0.346835:0.431231:0.000000
+:@0.381132:0.456461:0.390238:0.456461:0.390238:0.442446:0.381132:0.442446:0.000000
∴:@0.340748:0.493480:0.355061:0.493480:0.355061:0.479464:0.340748:0.479464:0.000000
=:@0.379706:0.493480:0.388811:0.493480:0.388811:0.479464:0.379706:0.479464:0.000000
=:@0.346868:0.542173:0.355973:0.542173:0.355973:0.528158:0.346868:0.528158:0.000000
⇔:@0.377915:0.542173:0.395196:0.542173:0.395196:0.528158:0.377915:0.528158:0.000000
=:@0.422213:0.542173:0.431318:0.542173:0.431318:0.528158:0.422213:0.528158:0.000000
=:@0.427719:0.579802:0.436824:0.579802:0.436824:0.565786:0.427719:0.565786:0.000000
⎫:@0.462863:0.531319:0.471056:0.531319:0.471056:0.517304:0.462863:0.517304:0.000000
⎬ ⇒:@0.462863:0.560384:0.490553:0.558430:0.490553:0.544415:0.462863:0.546368:0.000000:0.000000:0.000000
⎪:@0.462863:0.543443:0.471056:0.543443:0.471056:0.529427:0.462863:0.529427:0.000000
⎪:@0.462863:0.550936:0.471056:0.550936:0.471056:0.536921:0.462863:0.536921:0.000000
⎭:@0.462873:0.589447:0.471066:0.589447:0.471066:0.575431:0.462873:0.575431:0.000000
⎪:@0.462873:0.572508:0.471066:0.572508:0.471066:0.558493:0.462873:0.558493:0.000000
⎪:@0.462873:0.584632:0.471066:0.584632:0.471066:0.570616:0.462873:0.570616:0.000000
=:@0.513341:0.558430:0.522446:0.558430:0.522446:0.544415:0.513341:0.544415:0.000000
1:@0.361904:0.533499:0.369998:0.533499:0.369998:0.518749:0.361904:0.518749:0.000000
2:@0.361191:0.550999:0.369284:0.550999:0.369284:0.536249:0.361191:0.536249:0.000000
2:@0.441810:0.550999:0.449904:0.550999:0.449904:0.536249:0.441810:0.536249:0.000000
2:@0.447316:0.588628:0.455410:0.588628:0.455410:0.573878:0.447316:0.573878:0.000000
EF:@0.320857:0.398943:0.335368:0.398943:0.335368:0.384218:0.320857:0.384218:0.000000:0.000000
AB:@0.320857:0.418212:0.337442:0.418212:0.337442:0.403487:0.320857:0.403487:0.000000:0.000000
CF:@0.358969:0.398943:0.374840:0.398943:0.374840:0.384218:0.358969:0.384218:0.000000:0.000000
AC:@0.358737:0.418212:0.376283:0.418212:0.376283:0.403487:0.358737:0.403487:0.000000:0.000000
CF:@0.413715:0.398943:0.429587:0.398943:0.429587:0.384218:0.413715:0.384218:0.000000:0.000000
CF:@0.397031:0.418212:0.412903:0.418212:0.412903:0.403487:0.397031:0.403487:0.000000:0.000000
AF:@0.430383:0.418212:0.446255:0.418212:0.446255:0.403487:0.430383:0.403487:0.000000:0.000000
CF:@0.377146:0.436559:0.393017:0.436559:0.393017:0.421834:0.377146:0.421834:0.000000:0.000000
CF CF:@0.361125:0.455828:0.409022:0.455828:0.409022:0.441102:0.361125:0.441102:0.000000:0.000000:0.000000:0.000000:0.000000
AC:@0.319513:0.492846:0.337060:0.492846:0.337060:0.478121:0.319513:0.478121:0.000000:0.000000
AF:@0.358770:0.492846:0.374641:0.492846:0.374641:0.478121:0.358770:0.478121:0.000000:0.000000
CF:@0.392686:0.492846:0.408574:0.492846:0.408574:0.478121:0.392686:0.478121:0.000000:0.000000
EF:@0.320840:0.533474:0.335352:0.533474:0.335352:0.518749:0.320840:0.518749:0.000000:0.000000
AB:@0.320840:0.552742:0.337425:0.552742:0.337425:0.538017:0.320840:0.538017:0.000000:0.000000
EF:@0.402637:0.541527:0.417148:0.541527:0.417148:0.526802:0.402637:0.526802:0.000000:0.000000
AB:@0.437830:0.533461:0.454415:0.533461:0.454415:0.518736:0.437830:0.518736:0.000000:0.000000
AD:@0.404328:0.579143:0.423335:0.579143:0.423335:0.564418:0.404328:0.564418:0.000000:0.000000
AB:@0.443336:0.571077:0.459921:0.571077:0.459921:0.556352:0.443336:0.556352:0.000000:0.000000
EF:@0.493754:0.557783:0.508266:0.557783:0.508266:0.543058:0.493754:0.543058:0.000000:0.000000
AD:@0.527637:0.557783:0.546643:0.557783:0.546643:0.543058:0.527637:0.543058:0.000000:0.000000
):@0.411919:0.492788:0.416358:0.492788:0.416358:0.477889:0.411919:0.477889:0.000000
Utilizaremos el postulado LLL, por lo que hay que :@0.156529:0.659091:0.488372:0.659091:0.488372:0.644192:0.156529:0.644192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
probar que: :@0.156529:0.680465:0.237593:0.680465:0.237593:0.665566:0.156529:0.665566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1)  :@0.156529:0.701839:0.180920:0.701839:0.180920:0.686940:0.156529:0.686940:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.181111:0.693496:0.199539:0.693496:0.199539:0.677107:0.181111:0.677107:0.000000
AF:@0.180927:0.702292:0.198875:0.702292:0.198875:0.685931:0.180927:0.685931:0.000000:0.000000
 = :@0.201639:0.702140:0.220694:0.702140:0.220694:0.685751:0.201639:0.685751:0.000000:0.000000:0.000000
—:@0.220878:0.693482:0.239305:0.693482:0.239305:0.677093:0.220878:0.677093:0.000000
CF:@0.220694:0.702278:0.238661:0.702278:0.238661:0.685917:0.220694:0.685917:0.000000:0.000000
::@0.241351:0.702126:0.244557:0.702126:0.244557:0.685737:0.241351:0.685737:0.000000
F es el punto medio de:@0.156535:0.723211:0.303353:0.723211:0.303353:0.708312:0.156535:0.708312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.303015:0.723525:0.307050:0.723525:0.307050:0.707136:0.303015:0.707136:0.000000
—:@0.307235:0.714867:0.325662:0.714867:0.325662:0.698478:0.307235:0.698478:0.000000
AC :@0.307050:0.723663:0.329864:0.723663:0.329864:0.707302:0.307050:0.707302:0.000000:0.000000:0.000000
   :@0.327705:0.723211:0.350453:0.723211:0.350453:0.708312:0.327705:0.708312:0.000000:0.000000:0.000000
—:@0.350637:0.714870:0.369065:0.714870:0.369065:0.698481:0.350637:0.698481:0.000000
AF:@0.350453:0.723666:0.368401:0.723666:0.368401:0.707305:0.350453:0.707305:0.000000:0.000000
 = :@0.371165:0.723514:0.390219:0.723514:0.390219:0.707125:0.371165:0.707125:0.000000:0.000000:0.000000
—:@0.390404:0.714856:0.408831:0.714856:0.408831:0.698467:0.390404:0.698467:0.000000
CF:@0.390219:0.723652:0.408186:0.723652:0.408186:0.707291:0.390219:0.707291:0.000000:0.000000
 = :@0.410877:0.723500:0.429931:0.723500:0.429931:0.707111:0.410877:0.707111:0.000000:0.000000:0.000000
—:@0.432308:0.708397:0.450736:0.708397:0.450736:0.692008:0.432308:0.692008:0.000000
AC:@0.432124:0.717193:0.451620:0.717193:0.451620:0.700832:0.432124:0.700832:0.000000:0.000000
2:@0.437771:0.730660:0.445946:0.730660:0.445946:0.715761:0.437771:0.715761:0.000000
 = :@0.452840:0.723525:0.471894:0.723525:0.471894:0.707136:0.452840:0.707136:0.000000:0.000000:0.000000
—:@0.474271:0.708422:0.492699:0.708422:0.492699:0.692034:0.474271:0.692034:0.000000
AB:@0.474087:0.717219:0.492828:0.717219:0.492828:0.700857:0.474087:0.700857:0.000000:0.000000
2:@0.479738:0.730660:0.487913:0.730660:0.487913:0.715761:0.479738:0.715761:0.000000
.:@0.494806:0.723525:0.498013:0.723525:0.498013:0.707136:0.494806:0.707136:0.000000
(:@0.156535:0.744585:0.160975:0.744585:0.160975:0.729686:0.156535:0.729686:0.000000
—:@0.161159:0.736244:0.179587:0.736244:0.179587:0.719855:0.161159:0.719855:0.000000
AC:@0.160975:0.745040:0.180471:0.745040:0.180471:0.728679:0.160975:0.728679:0.000000:0.000000
 = :@0.181687:0.744888:0.200741:0.744888:0.200741:0.728499:0.181687:0.728499:0.000000:0.000000:0.000000
—:@0.200926:0.736230:0.219353:0.736230:0.219353:0.719841:0.200926:0.719841:0.000000
AB:@0.200741:0.745026:0.219482:0.745026:0.219482:0.728665:0.200741:0.728665:0.000000:0.000000
 :@0.221399:0.744874:0.225434:0.744874:0.225434:0.728485:0.221399:0.728485:0.000000
porque :@0.225433:0.744585:0.278119:0.744585:0.278119:0.729686:0.225433:0.729686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.278117:0.745577:0.289395:0.745577:0.289395:0.730004:0.278117:0.730004:0.000000
ABC :@0.289395:0.744899:0.321367:0.744899:0.321367:0.728538:0.289395:0.728538:0.000000:0.000000:0.000000:0.000000
es equilátero). :@0.321364:0.744585:0.418057:0.744585:0.418057:0.729686:0.321364:0.729686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2)  :@0.156537:0.765959:0.180928:0.765959:0.180928:0.751060:0.156537:0.751060:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.181111:0.757618:0.199539:0.757618:0.199539:0.741229:0.181111:0.741229:0.000000
AD:@0.180927:0.766414:0.202358:0.766414:0.202358:0.750053:0.180927:0.750053:0.000000:0.000000
 = :@0.203685:0.766262:0.222739:0.766262:0.222739:0.749873:0.203685:0.749873:0.000000:0.000000:0.000000
—:@0.222923:0.757604:0.241351:0.757604:0.241351:0.741215:0.222923:0.741215:0.000000
EF:@0.222739:0.766400:0.238918:0.766400:0.238918:0.750039:0.222739:0.750039:0.000000:0.000000
 :@0.243396:0.766248:0.247432:0.766248:0.247432:0.749859:0.243396:0.749859:0.000000
porque lo probamos en el inciso :@0.247422:0.765959:0.466961:0.765959:0.466961:0.751060:0.247422:0.751060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
anterior.:@0.156540:0.787333:0.210900:0.787333:0.210900:0.772434:0.156540:0.772434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3)  :@0.156540:0.808707:0.180932:0.808707:0.180932:0.793808:0.156540:0.793808:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.181111:0.800366:0.199539:0.800366:0.199539:0.783977:0.181111:0.783977:0.000000
DF:@0.180927:0.809162:0.200515:0.809162:0.200515:0.792801:0.180927:0.792801:0.000000:0.000000
 = :@0.203685:0.809010:0.222739:0.809010:0.222739:0.792621:0.203685:0.792621:0.000000:0.000000:0.000000
—:@0.222923:0.800353:0.241351:0.800353:0.241351:0.783964:0.222923:0.783964:0.000000
CE:@0.222739:0.809149:0.240780:0.809149:0.240780:0.792787:0.222739:0.792787:0.000000:0.000000
 :@0.243396:0.808996:0.247432:0.808996:0.247432:0.792608:0.243396:0.792608:0.000000
puede probarse de forma similar al :@0.247422:0.808707:0.482926:0.808707:0.482926:0.793808:0.247422:0.793808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inciso anterior, teniendo en cuenta que  :@0.156540:0.830081:0.425465:0.830081:0.425465:0.815182:0.156540:0.815182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.425642:0.821740:0.444070:0.821740:0.444070:0.805352:0.425642:0.805352:0.000000
BC:@0.425458:0.830537:0.444217:0.830537:0.444217:0.814175:0.425458:0.814175:0.000000:0.000000
 || :@0.448216:0.830384:0.464101:0.830384:0.464101:0.813996:0.448216:0.813996:0.000000:0.000000:0.000000:0.000000
—:@0.464285:0.821727:0.482713:0.821727:0.482713:0.805338:0.464285:0.805338:0.000000
DF:@0.464101:0.830523:0.483689:0.830523:0.483689:0.814161:0.464101:0.814161:0.000000:0.000000
.:@0.484748:0.830081:0.487663:0.830081:0.487663:0.815182:0.484748:0.815182:0.000000
Como los tres lados son congruentes, ambos :@0.156535:0.851456:0.458996:0.851456:0.458996:0.836557:0.156535:0.836557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos también lo son.:@0.156535:0.872830:0.330459:0.872830:0.330459:0.857931:0.156535:0.857931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por simetría:@0.557102:0.359071:0.635535:0.359071:0.635535:0.344172:0.557102:0.344172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.565775:0.381571:0.584202:0.381571:0.584202:0.365182:0.565775:0.365182:0.000000
EF:@0.565590:0.390367:0.581770:0.390367:0.581770:0.374006:0.565590:0.374006:0.000000:0.000000
 = :@0.585547:0.390215:0.604602:0.390215:0.604602:0.373826:0.585547:0.373826:0.000000:0.000000:0.000000
—:@0.604786:0.381557:0.623213:0.381557:0.623213:0.365168:0.604786:0.365168:0.000000
DF:@0.604602:0.390353:0.624190:0.390353:0.624190:0.373992:0.604602:0.373992:0.000000:0.000000
 :@0.627360:0.390201:0.631395:0.390201:0.631395:0.373812:0.627360:0.373812:0.000000
—:@0.565775:0.406687:0.584202:0.406687:0.584202:0.390298:0.565775:0.390298:0.000000
BF:@0.565590:0.415483:0.582488:0.415483:0.582488:0.399121:0.565590:0.399121:0.000000:0.000000
 = :@0.585547:0.415331:0.604602:0.415331:0.604602:0.398942:0.585547:0.398942:0.000000:0.000000:0.000000
—:@0.604786:0.406673:0.623213:0.406673:0.623213:0.390284:0.604786:0.390284:0.000000
AF:@0.604602:0.415469:0.622550:0.415469:0.622550:0.399108:0.604602:0.399108:0.000000:0.000000
 :@0.627360:0.415317:0.631395:0.415317:0.631395:0.398928:0.627360:0.398928:0.000000
 :@0.635523:0.401822:0.639192:0.401822:0.639192:0.386923:0.635523:0.386923:0.000000
—:@0.639374:0.393481:0.657802:0.393481:0.657802:0.377092:0.639374:0.377092:0.000000
EF:@0.639190:0.402277:0.655370:0.402277:0.655370:0.385916:0.639190:0.385916:0.000000:0.000000
 + :@0.659147:0.402125:0.678202:0.402125:0.678202:0.385736:0.659147:0.385736:0.000000:0.000000:0.000000
—:@0.678386:0.393467:0.696813:0.393467:0.696813:0.377078:0.678386:0.377078:0.000000
BF:@0.678202:0.402263:0.695100:0.402263:0.695100:0.385902:0.678202:0.385902:0.000000:0.000000
 = :@0.697071:0.402111:0.716126:0.402111:0.716126:0.385722:0.697071:0.385722:0.000000:0.000000:0.000000
—:@0.716310:0.393453:0.734738:0.393453:0.734738:0.377065:0.716310:0.377065:0.000000
DF:@0.716126:0.402250:0.735714:0.402250:0.735714:0.385888:0.716126:0.385888:0.000000:0.000000
 + :@0.738884:0.402097:0.757938:0.402097:0.757938:0.385709:0.738884:0.385709:0.000000:0.000000:0.000000
—:@0.758122:0.393440:0.776550:0.393440:0.776550:0.377051:0.758122:0.377051:0.000000
AF:@0.757938:0.402236:0.775886:0.402236:0.775886:0.385874:0.757938:0.385874:0.000000:0.000000
 :@0.776642:0.402084:0.780678:0.402084:0.780678:0.385695:0.776642:0.385695:0.000000
 :@0.557103:0.423196:0.560772:0.423196:0.560772:0.408297:0.557103:0.408297:0.000000
  :@0.574072:0.444885:0.582143:0.444885:0.582143:0.428496:0.574072:0.428496:0.000000:0.000000
—:@0.582328:0.436227:0.600755:0.436227:0.600755:0.419838:0.582328:0.419838:0.000000
BE:@0.582143:0.445023:0.599115:0.445023:0.599115:0.428662:0.582143:0.428662:0.000000:0.000000
 = :@0.604901:0.444871:0.623956:0.444871:0.623956:0.428482:0.604901:0.428482:0.000000:0.000000:0.000000
—:@0.624140:0.436213:0.642568:0.436213:0.642568:0.419824:0.624140:0.419824:0.000000
AD:@0.623956:0.445009:0.645387:0.445009:0.645387:0.428648:0.623956:0.428648:0.000000:0.000000
(un lado del ángulo recto):@0.651602:0.444570:0.824584:0.444570:0.824584:0.429671:0.651602:0.429671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.557288:0.457603:0.575715:0.457603:0.575715:0.441215:0.557288:0.441215:0.000000
CD:@0.557103:0.466400:0.578553:0.466400:0.578553:0.450038:0.557103:0.450038:0.000000:0.000000
 = :@0.579862:0.466247:0.598916:0.466247:0.598916:0.449859:0.579862:0.449859:0.000000:0.000000:0.000000
—:@0.599100:0.457590:0.617528:0.457590:0.617528:0.441201:0.599100:0.441201:0.000000
CE:@0.598916:0.466386:0.616956:0.466386:0.616956:0.450024:0.598916:0.450024:0.000000:0.000000
 :@0.619573:0.466234:0.623609:0.466234:0.623609:0.449845:0.619573:0.449845:0.000000
también por simetría (en el otro lado :@0.623599:0.465944:0.871765:0.465944:0.871765:0.451045:0.623599:0.451045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del ángulo recto):@0.557109:0.487319:0.671258:0.487319:0.671258:0.472420:0.557109:0.472420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego podemos afirmar que  los triángulos :@0.557109:0.508693:0.848227:0.508693:0.848227:0.493794:0.557109:0.493794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.557103:0.531059:0.568381:0.531059:0.568381:0.515486:0.557103:0.515486:0.000000
ACD:@0.568381:0.530381:0.599413:0.530381:0.599413:0.514020:0.568381:0.514020:0.000000:0.000000:0.000000
 y :@0.599408:0.530067:0.614117:0.530067:0.614117:0.515168:0.599408:0.515168:0.000000:0.000000:0.000000
Δ:@0.614117:0.531059:0.625395:0.531059:0.625395:0.515486:0.614117:0.515486:0.000000
BCE :@0.625395:0.530381:0.655598:0.530381:0.655598:0.514020:0.625395:0.514020:0.000000:0.000000:0.000000:0.000000
son congruentes según el :@0.655594:0.530067:0.832180:0.530067:0.832180:0.515168:0.655594:0.515168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
postulado LAL. :@0.557107:0.551441:0.659833:0.551441:0.659833:0.536542:0.557107:0.536542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sí son congruentes porque ya vimos en la respuesta :@0.552081:0.652805:0.885471:0.652805:0.885471:0.637905:0.552081:0.637905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del inciso anterior que:@0.552081:0.674179:0.693421:0.674179:0.693421:0.659280:0.552081:0.659280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.693079:0.674490:0.697115:0.674490:0.697115:0.658102:0.693079:0.658102:0.000000
—:@0.697299:0.665833:0.715727:0.665833:0.715727:0.649444:0.697299:0.649444:0.000000
BE:@0.697115:0.674629:0.714087:0.674629:0.714087:0.658267:0.697115:0.658267:0.000000:0.000000
 = :@0.717035:0.674477:0.736089:0.674477:0.736089:0.658088:0.717035:0.658088:0.000000:0.000000:0.000000
—:@0.736274:0.665819:0.754701:0.665819:0.754701:0.649430:0.736274:0.649430:0.000000
AD:@0.736089:0.674615:0.757521:0.674615:0.757521:0.658254:0.736089:0.658254:0.000000:0.000000
, además, :@0.758804:0.674176:0.821190:0.674176:0.821190:0.659277:0.758804:0.659277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.821037:0.665835:0.839465:0.665835:0.839465:0.649446:0.821037:0.649446:0.000000
AE:@0.820853:0.674631:0.838875:0.674631:0.838875:0.658270:0.820853:0.658270:0.000000:0.000000
 = :@0.840773:0.674479:0.859828:0.674479:0.859828:0.658090:0.840773:0.658090:0.000000:0.000000:0.000000
—:@0.860012:0.665821:0.878440:0.665821:0.878440:0.649432:0.860012:0.649432:0.000000
BD:@0.859828:0.674617:0.880209:0.674617:0.880209:0.658256:0.859828:0.658256:0.000000:0.000000
 :@0.881795:0.674176:0.885464:0.674176:0.885464:0.659277:0.881795:0.659277:0.000000
por simetría, y :@0.552074:0.695550:0.644378:0.695550:0.644378:0.680651:0.552074:0.680651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.644229:0.687209:0.662657:0.687209:0.662657:0.670820:0.644229:0.670820:0.000000
AB:@0.644045:0.696005:0.662786:0.696005:0.662786:0.679644:0.644045:0.679644:0.000000:0.000000
 :@0.663965:0.695853:0.668001:0.695853:0.668001:0.679464:0.663965:0.679464:0.000000
es común a ambos triángulos; por :@0.667996:0.695550:0.888374:0.695550:0.888374:0.680651:0.667996:0.680651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tanto, aplicando el postulado LLL, ambos triángulos :@0.552069:0.716924:0.882896:0.716924:0.882896:0.702025:0.552069:0.702025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son congruentes.:@0.552069:0.738298:0.662317:0.738298:0.662317:0.723399:0.552069:0.723399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.552078:0.828824:0.567428:0.828824:0.567428:0.813694:0.552078:0.813694:0.000000
E:@0.567426:0.827970:0.574814:0.827970:0.574814:0.813097:0.567426:0.813097:0.000000
 = :@0.574479:0.827970:0.591131:0.827970:0.591131:0.813071:0.574479:0.813071:0.000000:0.000000:0.000000
:@0.590796:0.828824:0.606146:0.828824:0.606146:0.813694:0.590796:0.813694:0.000000
D:@0.606146:0.827970:0.616633:0.827970:0.616633:0.813097:0.606146:0.813097:0.000000
, ambos miden 90º.:@0.616298:0.827970:0.738607:0.827970:0.738607:0.813071:0.616298:0.813071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AFE = BFD,:@0.552078:0.849659:0.628881:0.849659:0.628881:0.833298:0.552078:0.833298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son congruentes por ser opuestos por :@0.628881:0.849345:0.878559:0.849345:0.878559:0.834446:0.628881:0.834446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un vértice.:@0.552071:0.870719:0.618243:0.870719:0.618243:0.855820:0.552071:0.855820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.552262:0.883752:0.570690:0.883752:0.570690:0.867363:0.552262:0.867363:0.000000
AE:@0.552078:0.892548:0.570100:0.892548:0.570100:0.876187:0.552078:0.876187:0.000000:0.000000
 = :@0.571998:0.892396:0.591052:0.892396:0.591052:0.876007:0.571998:0.876007:0.000000:0.000000:0.000000
—:@0.591236:0.883738:0.609664:0.883738:0.609664:0.867349:0.591236:0.867349:0.000000
BD:@0.591052:0.892534:0.611433:0.892534:0.611433:0.876173:0.591052:0.876173:0.000000:0.000000
 por simetría.:@0.613020:0.892093:0.694954:0.892093:0.694954:0.877194:0.613020:0.877194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.190847:0.415246:0.199953:0.415246:0.199953:0.401231:0.190847:0.401231:0.000000
=:@0.230469:0.415246:0.239574:0.415246:0.239574:0.401231:0.230469:0.401231:0.000000
+:@0.264783:0.426461:0.273888:0.426461:0.273888:0.412446:0.264783:0.412446:0.000000
=:@0.194579:0.452875:0.203684:0.452875:0.203684:0.438859:0.194579:0.438859:0.000000
+:@0.228877:0.464089:0.237982:0.464089:0.237982:0.450073:0.228877:0.450073:0.000000
∴:@0.188493:0.501107:0.202806:0.501107:0.202806:0.487091:0.188493:0.487091:0.000000
=:@0.227451:0.501107:0.236556:0.501107:0.236556:0.487091:0.227451:0.487091:0.000000
=:@0.194613:0.549801:0.203718:0.549801:0.203718:0.535785:0.194613:0.535785:0.000000
⇔:@0.225660:0.549801:0.242941:0.549801:0.242941:0.535785:0.225660:0.535785:0.000000
=:@0.269958:0.549801:0.279063:0.549801:0.279063:0.535785:0.269958:0.535785:0.000000
=:@0.275464:0.587429:0.284569:0.587429:0.284569:0.573413:0.275464:0.573413:0.000000
⎫ ⎪:@0.310607:0.538947:0.321649:0.537735:0.321649:0.523719:0.310607:0.524931:0.000000:0.000000:0.000000
⎬ ⇒:@0.310607:0.568011:0.338297:0.566059:0.338297:0.552043:0.310607:0.553995:0.000000:0.000000:0.000000
⎪:@0.310607:0.551070:0.318800:0.551070:0.318800:0.537055:0.310607:0.537055:0.000000
⎪ ⎪:@0.310607:0.558564:0.321658:0.559307:0.321658:0.545291:0.310607:0.544548:0.000000:0.000000:0.000000
⎭:@0.310617:0.597075:0.318810:0.597075:0.318810:0.583059:0.310617:0.583059:0.000000
⎪:@0.310617:0.580136:0.318810:0.580136:0.318810:0.566121:0.310617:0.566121:0.000000
⎪:@0.310617:0.592260:0.318810:0.592260:0.318810:0.578244:0.310617:0.578244:0.000000
=:@0.361085:0.566059:0.370190:0.566059:0.370190:0.552043:0.361085:0.552043:0.000000
1:@0.209648:0.541127:0.217742:0.541127:0.217742:0.526377:0.209648:0.526377:0.000000
2:@0.208935:0.558628:0.217029:0.558628:0.217029:0.543877:0.208935:0.543877:0.000000
2:@0.289554:0.558628:0.297648:0.558628:0.297648:0.543877:0.289554:0.543877:0.000000
2:@0.295060:0.596256:0.303154:0.596256:0.303154:0.581506:0.295060:0.581506:0.000000
EF AB:@0.168600:0.406571:0.188035:0.405011:0.188035:0.390286:0.168600:0.391846:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.168600:0.425839:0.185185:0.425839:0.185185:0.411114:0.168600:0.411114:0.000000:0.000000
CF AC:@0.206712:0.406571:0.226877:0.405011:0.226877:0.390286:0.206712:0.391846:0.000000:0.000000:0.000000:0.000000:0.000000
AC CF:@0.206480:0.425839:0.243611:0.423358:0.243611:0.408633:0.206480:0.411114:0.000000:0.000000:0.000000:0.000000:0.000000
CF AF:@0.261459:0.406571:0.296848:0.405011:0.296848:0.390286:0.261459:0.391846:0.000000:0.000000:0.000000:0.000000:0.000000
CF:@0.244775:0.425839:0.260646:0.425839:0.260646:0.411114:0.244775:0.411114:0.000000:0.000000
AF:@0.278127:0.425839:0.293999:0.425839:0.293999:0.411114:0.278127:0.411114:0.000000:0.000000
CF CF:@0.224889:0.444187:0.259615:0.442627:0.259615:0.427901:0.224889:0.429461:0.000000:0.000000:0.000000:0.000000:0.000000
CF CF:@0.208868:0.463455:0.256765:0.463455:0.256765:0.448730:0.208868:0.448730:0.000000:0.000000:0.000000:0.000000:0.000000
AC:@0.167257:0.500474:0.184804:0.500474:0.184804:0.485749:0.167257:0.485749:0.000000:0.000000
AF:@0.206513:0.500474:0.222385:0.500474:0.222385:0.485749:0.206513:0.485749:0.000000:0.000000
CF:@0.240429:0.500474:0.256318:0.500474:0.256318:0.485749:0.240429:0.485749:0.000000:0.000000
EF AB:@0.168584:0.541102:0.188018:0.539541:0.188018:0.524816:0.168584:0.526376:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.168584:0.560370:0.185168:0.560370:0.185168:0.545645:0.168584:0.545645:0.000000:0.000000
EF:@0.250380:0.549155:0.264892:0.549155:0.264892:0.534430:0.250380:0.534430:0.000000:0.000000
AB:@0.285573:0.541089:0.302158:0.541089:0.302158:0.526364:0.285573:0.526364:0.000000:0.000000
AD:@0.252072:0.586771:0.271078:0.586771:0.271078:0.572046:0.252072:0.572046:0.000000:0.000000
AB:@0.291079:0.578705:0.307664:0.578705:0.307664:0.563980:0.291079:0.563980:0.000000:0.000000
EF:@0.341497:0.565411:0.356009:0.565411:0.356009:0.550686:0.341497:0.550686:0.000000:0.000000
AD:@0.375380:0.565411:0.394387:0.565411:0.394387:0.550686:0.375380:0.550686:0.000000:0.000000
=:@0.193697:0.394417:0.202802:0.394417:0.202802:0.380401:0.193697:0.380401:0.000000
=:@0.233318:0.394417:0.242423:0.394417:0.242423:0.380401:0.233318:0.380401:0.000000
+:@0.267632:0.405632:0.276738:0.405632:0.276738:0.391616:0.267632:0.391616:0.000000
=:@0.197429:0.432045:0.206534:0.432045:0.206534:0.418029:0.197429:0.418029:0.000000
+:@0.231726:0.443260:0.240831:0.443260:0.240831:0.429244:0.231726:0.429244:0.000000
∴:@0.191342:0.480278:0.205655:0.480278:0.205655:0.466262:0.191342:0.466262:0.000000
=:@0.230300:0.480278:0.239405:0.480278:0.239405:0.466262:0.230300:0.466262:0.000000
=:@0.197461:0.528972:0.206566:0.528972:0.206566:0.514956:0.197461:0.514956:0.000000
⇔:@0.228508:0.528972:0.245790:0.528972:0.245790:0.514956:0.228508:0.514956:0.000000
=:@0.272806:0.528972:0.281912:0.528972:0.281912:0.514956:0.272806:0.514956:0.000000
=:@0.278313:0.566600:0.287418:0.566600:0.287418:0.552584:0.278313:0.552584:0.000000
⎫:@0.313456:0.518118:0.321649:0.518118:0.321649:0.504102:0.313456:0.504102:0.000000
⎬ ⇒:@0.313456:0.547182:0.341145:0.545229:0.341145:0.531213:0.313456:0.533167:0.000000:0.000000:0.000000
⎪:@0.313456:0.530241:0.321649:0.530241:0.321649:0.516226:0.313456:0.516226:0.000000
⎭:@0.313465:0.576245:0.321658:0.576245:0.321658:0.562229:0.313465:0.562229:0.000000
⎪:@0.313465:0.571430:0.321658:0.571430:0.321658:0.557415:0.313465:0.557415:0.000000
=:@0.363933:0.545229:0.373038:0.545229:0.373038:0.531213:0.363933:0.531213:0.000000
1:@0.212496:0.520297:0.220590:0.520297:0.220590:0.505547:0.212496:0.505547:0.000000
2:@0.211783:0.537798:0.219877:0.537798:0.219877:0.523048:0.211783:0.523048:0.000000
2:@0.292402:0.537798:0.300496:0.537798:0.300496:0.523048:0.292402:0.523048:0.000000
2:@0.297908:0.575426:0.306002:0.575426:0.306002:0.560676:0.297908:0.560676:0.000000
EF:@0.171450:0.385742:0.185962:0.385742:0.185962:0.371017:0.171450:0.371017:0.000000:0.000000
CF:@0.209562:0.385742:0.225434:0.385742:0.225434:0.371017:0.209562:0.371017:0.000000:0.000000
CF:@0.264309:0.385742:0.280180:0.385742:0.280180:0.371017:0.264309:0.371017:0.000000:0.000000
CF:@0.247624:0.405011:0.263496:0.405011:0.263496:0.390286:0.247624:0.390286:0.000000:0.000000
CF:@0.211718:0.442627:0.227590:0.442627:0.227590:0.427901:0.211718:0.427901:0.000000:0.000000
AC:@0.170107:0.479645:0.187653:0.479645:0.187653:0.464920:0.170107:0.464920:0.000000:0.000000
AF:@0.209363:0.479645:0.225235:0.479645:0.225235:0.464920:0.209363:0.464920:0.000000:0.000000
CF:@0.243279:0.479645:0.259167:0.479645:0.259167:0.464920:0.243279:0.464920:0.000000:0.000000
EF:@0.171433:0.520272:0.185945:0.520272:0.185945:0.505547:0.171433:0.505547:0.000000:0.000000
EF:@0.253230:0.528326:0.267742:0.528326:0.267742:0.513601:0.253230:0.513601:0.000000:0.000000
AB:@0.288423:0.520260:0.305008:0.520260:0.305008:0.505535:0.288423:0.505535:0.000000:0.000000
AD:@0.254921:0.565941:0.273928:0.565941:0.273928:0.551216:0.254921:0.551216:0.000000:0.000000
AB:@0.293929:0.557876:0.310514:0.557876:0.310514:0.543151:0.293929:0.543151:0.000000:0.000000
EF:@0.344347:0.544582:0.358859:0.544582:0.358859:0.529857:0.344347:0.529857:0.000000:0.000000
AD:@0.378230:0.544582:0.397236:0.544582:0.397236:0.529857:0.378230:0.529857:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000