178:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El teorema de Pitágoras es un concepto esencial en geometría: establece la relación :@0.287490:0.150300:0.907763:0.150300:0.907763:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que existe entre los lados de los triángulos rectángulos. :@0.287490:0.166897:0.696060:0.166897:0.696060:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este teorema tiene múltiples aplicaciones en diversas áreas, como la geometría, la :@0.287490:0.190616:0.907707:0.190616:0.907707:0.174227:0.287490:0.174227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
física, la ingeniería, la arquitectura, las artes, la navegación, entre otras.:@0.287490:0.207212:0.797156:0.207212:0.797156:0.190823:0.287490:0.190823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un triángulo rectángulo es aquel que tiene un ángulo recto y dos agudos. Los lados :@0.287490:0.230931:0.907689:0.230931:0.907689:0.214542:0.287490:0.214542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que forman el ángulo recto se llaman catetos y el lado más grande del triángulo es la :@0.287490:0.247527:0.907763:0.247527:0.907763:0.231138:0.287490:0.231138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa y se opone al ángulo recto.:@0.287490:0.264124:0.572229:0.264124:0.572229:0.247735:0.287490:0.247735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un colegio, la cancha de fútbol mide 125 metros de largo. Si la longitud de sus :@0.287490:0.287843:0.907672:0.287843:0.907672:0.271454:0.287490:0.271454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diagonales es de 150 metros, ¿cuál es el ancho de la cancha?:@0.287490:0.304439:0.731574:0.304439:0.731574:0.288050:0.287490:0.288050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Podemos observar que la diagonal de la cancha forma un triángulo rectángulo, :@0.287490:0.328158:0.907613:0.328158:0.907613:0.311769:0.287490:0.311769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde el largo es uno de los catetos y la diagonal es la hipotenusa. Para hallar el :@0.287490:0.344754:0.907597:0.344754:0.907597:0.328366:0.287490:0.328366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ancho, tendremos que encontrar la medida del otro cateto mediante el teorema de :@0.287490:0.361351:0.907671:0.361351:0.907671:0.344962:0.287490:0.344962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pitágoras.:@0.287490:0.377947:0.357773:0.377947:0.357773:0.361558:0.287490:0.361558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema de Pitágoras:@0.296992:0.411869:0.483240:0.411869:0.483240:0.394969:0.296992:0.394969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. En todo triángulo rectángulo el cuadrado de la :@0.483240:0.411869:0.898212:0.411869:0.898212:0.395480:0.483240:0.395480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa es igual a la suma de los cuadrados de cada cateto. :@0.296992:0.428466:0.760790:0.428466:0.760790:0.412077:0.296992:0.412077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c :@0.549820:0.452185:0.560802:0.452185:0.560802:0.436791:0.549820:0.436791:0.000000:0.000000
2 =  2 +  2:@0.560802:0.452185:0.641331:0.452185:0.641331:0.435796:0.560802:0.435796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.585127:0.452185:0.594396:0.452185:0.594396:0.436791:0.585127:0.436791:0.000000
b:@0.622756:0.452185:0.632025:0.452185:0.632025:0.436791:0.622756:0.436791:0.000000
5:@0.345703:0.502282:0.353849:0.502282:0.353849:0.488343:0.345703:0.488343:0.000000
5:@0.428607:0.497639:0.436753:0.497639:0.436753:0.483701:0.428607:0.483701:0.000000
c:@0.428442:0.558713:0.434291:0.558713:0.434291:0.546766:0.428442:0.546766:0.000000
a:@0.430773:0.575490:0.437391:0.575490:0.437391:0.563543:0.430773:0.563543:0.000000
b:@0.451916:0.558713:0.459536:0.558713:0.459536:0.546766:0.451916:0.546766:0.000000
4:@0.496964:0.515320:0.505110:0.515320:0.505110:0.501381:0.496964:0.501381:0.000000
4:@0.542101:0.549482:0.550247:0.549482:0.550247:0.535543:0.542101:0.535543:0.000000
3:@0.468666:0.600205:0.476812:0.600205:0.476812:0.586267:0.468666:0.586267:0.000000
3:@0.428604:0.631755:0.436750:0.631755:0.436750:0.617816:0.428604:0.617816:0.000000
3 9:@0.430003:0.603159:0.438156:0.603160:0.438156:0.589222:0.430003:0.589221:0.000000:0.000000:0.000000
16:@0.478840:0.546391:0.495132:0.546391:0.495132:0.532453:0.478840:0.532453:0.000000:0.000000
25:@0.386225:0.530479:0.402517:0.530479:0.402517:0.516541:0.386225:0.516541:0.000000:0.000000
+:@0.776972:0.506513:0.787955:0.506513:0.787955:0.489612:0.776972:0.489612:0.000000
= a2:@0.721744:0.506513:0.762469:0.506513:0.762469:0.489612:0.721744:0.489612:0.000000:0.000000:0.000000:0.000000
c2:@0.682051:0.506513:0.696462:0.506513:0.696462:0.489612:0.682051:0.489612:0.000000:0.000000
b2:@0.806327:0.506513:0.823244:0.506513:0.823244:0.489612:0.806327:0.489612:0.000000:0.000000
c2 = a2 + b2:@0.714946:0.543404:0.784263:0.543404:0.784263:0.529466:0.714946:0.529466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.686749:0.572723:0.721466:0.572723:0.721466:0.557330:0.686749:0.557330:0.000000:0.000000:0.000000
 y   son catetos,:@0.696018:0.572723:0.812460:0.572723:0.812460:0.556334:0.696018:0.556334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 c es la hipotenusa.:@0.680225:0.596442:0.819002:0.596442:0.819002:0.580053:0.680225:0.580053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Siempre se cumple que   >   y  >  .:@0.613499:0.620161:0.885728:0.620161:0.885728:0.603772:0.613499:0.603772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.795083:0.620161:0.802749:0.620161:0.802749:0.604768:0.795083:0.604768:0.000000
a c  b:@0.821803:0.620161:0.882522:0.620161:0.882522:0.604768:0.821803:0.604768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A partir de la fórmula del teorema de Pitágoras, despejamos para obtener las fórmulas :@0.287495:0.658762:0.907751:0.658762:0.907751:0.642373:0.287495:0.642373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que permiten el cálculo de los catetos.:@0.287495:0.675358:0.555393:0.675358:0.555393:0.658969:0.287495:0.658969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para encontrar la hipotenusa:@0.338114:0.702733:0.546044:0.702733:0.546044:0.687369:0.338114:0.687369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para encontrar los catetos:@0.657616:0.702733:0.843884:0.702733:0.843884:0.687369:0.657616:0.687369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La hipotenusa es igual a la raíz cuadrada de :@0.294391:0.731513:0.586284:0.731513:0.586284:0.716614:0.294391:0.716614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de los catetos elevados al cuadrado.:@0.294391:0.746600:0.588910:0.746600:0.588910:0.731701:0.294391:0.731701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.408784:0.768964:0.418901:0.768964:0.418901:0.753391:0.408784:0.753391:0.000000
+:@0.454430:0.768964:0.464546:0.768964:0.464546:0.753391:0.454430:0.753391:0.000000
c:@0.397322:0.768286:0.404988:0.768286:0.404988:0.752893:0.397322:0.752893:0.000000
a:@0.435062:0.768286:0.444331:0.768286:0.444331:0.752893:0.435062:0.752893:0.000000
b:@0.467311:0.768286:0.476580:0.768286:0.476580:0.752893:0.467311:0.752893:0.000000
2:@0.444906:0.760625:0.450118:0.760625:0.450118:0.751127:0.444906:0.751127:0.000000
2:@0.477159:0.760625:0.482370:0.760625:0.482370:0.751127:0.477159:0.751127:0.000000
Un cateto es igual a la raíz cuadrada del cua-:@0.603060:0.723051:0.898372:0.723051:0.898372:0.708152:0.603060:0.708152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
drado de la hipotenusa menos el cuadrado :@0.603060:0.738139:0.893713:0.738139:0.893713:0.723240:0.603060:0.723240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del otro cateto.:@0.603060:0.753226:0.703824:0.753226:0.703824:0.738327:0.603060:0.738327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.665354:0.774925:0.675471:0.774925:0.675471:0.759352:0.665354:0.759352:0.000000
−:@0.709857:0.774925:0.719974:0.774925:0.719974:0.759352:0.709857:0.759352:0.000000
=:@0.664986:0.800497:0.675102:0.800497:0.675102:0.784924:0.664986:0.784924:0.000000
−:@0.709488:0.800497:0.719605:0.800497:0.719605:0.784924:0.709488:0.784924:0.000000
a:@0.652738:0.774247:0.662007:0.774247:0.662007:0.758854:0.652738:0.758854:0.000000
c:@0.691639:0.774247:0.699305:0.774247:0.699305:0.758854:0.691639:0.758854:0.000000
b:@0.722726:0.774247:0.731995:0.774247:0.731995:0.758854:0.722726:0.758854:0.000000
b:@0.652371:0.799826:0.661640:0.799826:0.661640:0.784433:0.652371:0.784433:0.000000
c:@0.691272:0.799826:0.698938:0.799826:0.698938:0.784433:0.691272:0.784433:0.000000
a:@0.722728:0.799826:0.731997:0.799826:0.731997:0.784433:0.722728:0.784433:0.000000
2:@0.700325:0.766585:0.705536:0.766585:0.705536:0.757087:0.700325:0.757087:0.000000
2:@0.732577:0.766585:0.737789:0.766585:0.737789:0.757087:0.732577:0.757087:0.000000
2:@0.699962:0.792162:0.705173:0.792162:0.705173:0.782664:0.699962:0.782664:0.000000
2:@0.732577:0.792162:0.737789:0.792162:0.737789:0.782664:0.732577:0.782664:0.000000
   :@0.745243:0.780203:0.756249:0.780203:0.756249:0.765304:0.745243:0.765304:0.000000:0.000000:0.000000
=:@0.771849:0.748610:0.781966:0.748610:0.781966:0.733037:0.771849:0.733037:0.000000
−:@0.816352:0.748610:0.826469:0.748610:0.826469:0.733037:0.816352:0.733037:0.000000
=:@0.771481:0.774182:0.781597:0.774182:0.781597:0.758609:0.771481:0.758609:0.000000
−:@0.815983:0.774182:0.826100:0.774182:0.826100:0.758609:0.815983:0.758609:0.000000
a:@0.759226:0.747932:0.768495:0.747932:0.768495:0.732539:0.759226:0.732539:0.000000
c:@0.798127:0.747932:0.805793:0.747932:0.805793:0.732539:0.798127:0.732539:0.000000
b:@0.829214:0.747932:0.838483:0.747932:0.838483:0.732539:0.829214:0.732539:0.000000
b:@0.758866:0.773510:0.768135:0.773510:0.768135:0.758117:0.758866:0.758117:0.000000
c:@0.797767:0.773510:0.805433:0.773510:0.805433:0.758117:0.797767:0.758117:0.000000
a:@0.829223:0.773510:0.838492:0.773510:0.838492:0.758117:0.829223:0.758117:0.000000
2:@0.806820:0.740270:0.812031:0.740270:0.812031:0.730771:0.806820:0.730771:0.000000
2:@0.839072:0.740270:0.844284:0.740270:0.844284:0.730771:0.839072:0.730771:0.000000
2:@0.806457:0.765846:0.811668:0.765846:0.811668:0.756348:0.806457:0.756348:0.000000
2:@0.839072:0.765846:0.844284:0.765846:0.844284:0.756348:0.839072:0.756348:0.000000
Para  resolver  el  problema  planteado  al  inicio,  es  necesario  identificar  lo  que :@0.287495:0.804391:0.907679:0.804391:0.907679:0.788002:0.287495:0.788002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deseamos hallar, en este caso, un cateto. Por lo tanto: :@0.287495:0.827017:0.679556:0.827017:0.679556:0.810628:0.287495:0.810628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.422150:0.857831:0.431419:0.857831:0.431419:0.842438:0.422150:0.842438:0.000000
150 –125          :@0.459263:0.857831:0.581130:0.856574:0.581130:0.840185:0.459263:0.841442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.486331:0.850169:0.491543:0.850169:0.491543:0.840671:0.486331:0.840671:0.000000
2:@0.532457:0.850169:0.537668:0.850169:0.537668:0.840671:0.532457:0.840671:0.000000
=:@0.434818:0.858509:0.444934:0.858509:0.444934:0.842936:0.434818:0.842936:0.000000
a:@0.582176:0.858104:0.591445:0.858104:0.596573:0.842711:0.587304:0.842711:0.000000
=:@0.595106:0.858782:0.605223:0.858782:0.605223:0.843209:0.595106:0.843209:0.000000
6 875:@0.620555:0.858104:0.661575:0.858104:0.661575:0.842434:0.620555:0.842434:0.000000:0.000000:0.000000:0.000000:0.000000
     = 82,91 :@0.666565:0.856574:0.757340:0.856574:0.757340:0.840185:0.666565:0.840185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.686099:0.856574:0.695718:0.856574:0.695718:0.839936:0.686099:0.839936:0.000000
m:@0.757340:0.856574:0.771971:0.856574:0.771971:0.841181:0.757340:0.841181:0.000000
Solución: :@0.287490:0.887429:0.358511:0.887429:0.358511:0.870792:0.287490:0.870792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El ancho de la cancha de fútbol es 82,91 metros.:@0.287490:0.911148:0.639324:0.911148:0.639324:0.894760:0.287490:0.894760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Triángulo rectángulo. :@0.286308:0.063945:0.670072:0.063945:0.670072:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema de Pitágoras:@0.286308:0.094120:0.665689:0.094120:0.665689:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
125:@0.152329:0.207428:0.170376:0.207428:0.170376:0.196849:0.152329:0.196849:0.000000:0.000000:0.000000
m:@0.172803:0.207428:0.182279:0.207428:0.182279:0.196841:0.172803:0.196841:0.000000
150 :@0.129204:0.284482:0.149737:0.284482:0.149737:0.273903:0.129204:0.273903:0.000000:0.000000:0.000000:0.000000
m:@0.149737:0.284482:0.159212:0.284482:0.159212:0.273894:0.149737:0.273894:0.000000
b:@0.158983:0.316225:0.165139:0.316225:0.165139:0.305637:0.158983:0.305637:0.000000
a:@0.256138:0.263832:0.262260:0.263832:0.262260:0.253244:0.256138:0.253244:0.000000
Matemática y Medicina:@0.077369:0.461168:0.244757:0.461168:0.244757:0.445804:0.077369:0.445804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si queremos determinar :@0.084036:0.479814:0.248424:0.479814:0.248424:0.464915:0.084036:0.464915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la distancia de un pico :@0.095478:0.494901:0.248427:0.494901:0.248427:0.480002:0.095478:0.480002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que mide la frecuencia :@0.092714:0.509989:0.248426:0.509989:0.248426:0.495090:0.092714:0.495090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cardíaca un uso sencillo:@0.086348:0.525077:0.244759:0.525077:0.244759:0.510178:0.086348:0.510178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del teorema de Pitágoras:@0.078240:0.540164:0.244757:0.540164:0.244757:0.525265:0.078240:0.525265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nos puede ser de :@0.129552:0.555252:0.248427:0.555252:0.248427:0.540353:0.129552:0.540353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mucha utilidad.:@0.141229:0.570339:0.244757:0.570339:0.244757:0.555440:0.141229:0.555440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿En qué carrera profesional :@0.074236:0.588985:0.247772:0.588985:0.247772:0.574991:0.074236:0.574991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crees tú que emplean más :@0.079781:0.604073:0.247774:0.604073:0.247774:0.590079:0.079781:0.590079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el teorema de Pitágoras?:@0.089966:0.619160:0.244755:0.619160:0.244755:0.605167:0.089966:0.605167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090129:0.430818:0.247335:0.430818:0.247335:0.413917:0.090129:0.413917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.070380:0.256814:0.070380:0.251707:0.058298:0.251707:0.058298:0.256814:0.000000
Shutterstock:@0.070380:0.251707:0.070380:0.213988:0.058469:0.213988:0.058469:0.251707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La base para tener buenas :@0.069999:0.752935:0.248427:0.752935:0.248427:0.738036:0.069999:0.738036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relaciones interpersonales :@0.071088:0.768022:0.248427:0.768022:0.248427:0.753123:0.071088:0.753123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta en reconocer las :@0.104392:0.783110:0.248427:0.783110:0.248427:0.768211:0.104392:0.768211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emociones de los demás, :@0.076264:0.798198:0.248425:0.798198:0.248425:0.783299:0.076264:0.783299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así como conocer y :@0.115197:0.813285:0.248429:0.813285:0.248429:0.798386:0.115197:0.798386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manejar tus propias :@0.113019:0.828373:0.248427:0.828373:0.248427:0.813474:0.113019:0.813474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emociones.:@0.168034:0.843460:0.244758:0.843460:0.244758:0.828561:0.168034:0.828561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Según tu experiencia, :@0.109937:0.862106:0.247775:0.862106:0.247775:0.848112:0.109937:0.848112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿que importancia tienen :@0.089432:0.877194:0.247774:0.877194:0.247774:0.863200:0.089432:0.863200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para ti las relaciones:@0.115984:0.892281:0.244758:0.892281:0.244758:0.878288:0.115984:0.878288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        Socioemocional:@0.094749:0.720494:0.244392:0.720494:0.244392:0.703593:0.094749:0.703593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000