﻿104:@0.054057:0.510692:0.082417:0.510692:0.082417:0.494068:0.054057:0.494068:0.000000:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Un triángulo rectángulo es aquel que tiene un ángulo recto y dos agudos. Los lados que forman el ángulo :@0.115209:0.167757:0.884010:0.167757:0.884010:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recto se llaman catetos y la hipotenusa es el lado más grande del triángulo (lado opuesto al ángulo recto :@0.115209:0.184353:0.884041:0.184353:0.884041:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o de 90º).:@0.115209:0.200949:0.184331:0.200949:0.184331:0.184560:0.115209:0.184560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.493510:0.319572:0.497546:0.319572:0.497546:0.303183:0.493510:0.303183:0.000000
Actividad resuelta:@0.115209:0.508910:0.272331:0.508910:0.272331:0.490473:0.115209:0.490473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.115209:0.528757:0.137746:0.528757:0.137746:0.511856:0.115209:0.511856:0.000000:0.000000:0.000000:0.000000
Probaremos:@0.148452:0.528757:0.241143:0.528757:0.241143:0.512133:0.148452:0.512133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente que es posible construir un triángulo rectángulo con catetos   = 6 cm,  :@0.241143:0.528757:0.883936:0.528757:0.883936:0.512368:0.241143:0.512368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.808195:0.528757:0.817464:0.528757:0.817464:0.512395:0.808195:0.512395:0.000000
b:@0.148452:0.545353:0.157721:0.545353:0.157721:0.528992:0.148452:0.528992:0.000000
 = 8 cm e hipotenusa   = 10 cm. :@0.157721:0.545353:0.415156:0.545353:0.415156:0.528964:0.157721:0.528964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.329670:0.545353:0.337336:0.545353:0.337336:0.528992:0.329670:0.528992:0.000000
Utilizamos :@0.417219:0.545353:0.501747:0.545353:0.501747:0.528729:0.417219:0.528729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
papel cuadriculado, cartabón, escuadra y compás. :@0.503774:0.545353:0.883916:0.545353:0.883916:0.528964:0.503774:0.528964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comprobamos:@0.148452:0.561949:0.263017:0.561949:0.263017:0.545325:0.148452:0.545325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con un graduador.:@0.263017:0.561949:0.402181:0.561949:0.402181:0.545561:0.263017:0.545561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa:@0.221538:0.371742:0.279602:0.371742:0.279602:0.356630:0.221538:0.356630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en el :@0.279602:0.371742:0.319389:0.371742:0.319389:0.356843:0.279602:0.356843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vIdeo del enlace :@0.221538:0.386830:0.334449:0.386830:0.334449:0.371931:0.221538:0.371931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una de las :@0.221538:0.401918:0.292669:0.401918:0.292669:0.387019:0.221538:0.387019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demostraciones :@0.221538:0.417005:0.332288:0.417005:0.332288:0.402106:0.221538:0.402106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del teorema de :@0.221538:0.432093:0.326892:0.432093:0.326892:0.417194:0.221538:0.417194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pitágoras::@0.221538:0.447180:0.285616:0.447180:0.285616:0.432281:0.221538:0.432281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.161151:0.352308:0.181119:0.352308:0.181119:0.330582:0.161151:0.330582:0.000000:0.000000:0.000000
mayedu.ec/ctm10/p104:@0.152310:0.465508:0.311976:0.465508:0.311976:0.450383:0.152310:0.450383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema de Pitágoras:@0.115891:0.141978:0.432863:0.141978:0.432863:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.14. Demostrar el teorema de Pitágoras utilizando áreas de regiones rectangulares.:@0.125388:0.069719:0.531113:0.069719:0.531113:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.15. Aplicar el teorema de Pitágoras en la resolución de triángulos rectángulos.:@0.125388:0.080280:0.513124:0.080280:0.513124:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.054104:0.122645:0.076408:0.122645:0.076408:0.065614:0.054104:0.065614:0.000000
Teorema de Pitágoras: :@0.376903:0.344433:0.561548:0.344433:0.561548:0.327532:0.376903:0.327532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en todo triángulo rectángulo el cuadrado :@0.563833:0.344433:0.883936:0.344433:0.883936:0.328044:0.563833:0.328044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la hipotenusa es igual a la suma de los cuadrados de cada cateto:  :@0.376903:0.361029:0.883939:0.361029:0.883939:0.344640:0.376903:0.344640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.376903:0.377625:0.384569:0.377625:0.384569:0.361264:0.376903:0.361264:0.000000
2 =  2 +  2.:@0.384569:0.377625:0.460233:0.377625:0.460233:0.361236:0.384569:0.361236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.408893:0.377625:0.418162:0.377625:0.418162:0.361264:0.408893:0.361264:0.000000
b:@0.442487:0.377625:0.451756:0.377625:0.451756:0.361264:0.442487:0.361264:0.000000
Fórmulas::@0.376903:0.401344:0.454962:0.401344:0.454962:0.384444:0.376903:0.384444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.376903:0.425063:0.386854:0.425063:0.386854:0.407928:0.376903:0.407928:0.000000:0.000000
Para calcular la hipotenusa:  = √ 2 +  2:@0.410146:0.425063:0.696143:0.424399:0.696143:0.408011:0.410146:0.408674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c :@0.611966:0.425063:0.622949:0.425063:0.622949:0.408702:0.611966:0.408702:0.000000:0.000000
a:@0.648010:0.424399:0.657279:0.424399:0.657279:0.408038:0.648010:0.408038:0.000000
b:@0.681604:0.424399:0.690873:0.424399:0.690873:0.408038:0.681604:0.408038:0.000000
• :@0.376903:0.448799:0.386854:0.448799:0.386854:0.431663:0.376903:0.431663:0.000000:0.000000
Para calcular el cateto  :  = √ 2 –  2:@0.410146:0.448799:0.671616:0.448135:0.671616:0.431746:0.410146:0.432410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a :@0.572697:0.448799:0.601794:0.448799:0.601794:0.432437:0.572697:0.432437:0.000000:0.000000:0.000000:0.000000
c:@0.626855:0.448135:0.634521:0.448135:0.634521:0.431774:0.626855:0.431774:0.000000
b:@0.657077:0.448135:0.666346:0.448135:0.666346:0.431774:0.657077:0.431774:0.000000
• :@0.376903:0.472524:0.386854:0.472524:0.386854:0.455388:0.376903:0.455388:0.000000:0.000000
Para calcular el cateto  :  = √ 2 –  2:@0.410146:0.472524:0.671616:0.471860:0.671616:0.455471:0.410146:0.456135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b b :@0.572697:0.472524:0.601794:0.472524:0.601794:0.456163:0.572697:0.456163:0.000000:0.000000:0.000000:0.000000
c:@0.626855:0.471860:0.634521:0.471860:0.634521:0.455499:0.626855:0.455499:0.000000
a:@0.657077:0.471860:0.666346:0.471860:0.666346:0.455499:0.657077:0.455499:0.000000
Como :@0.487501:0.855538:0.536629:0.855538:0.536629:0.839149:0.487501:0.839149:0.000000:0.000000:0.000000:0.000000:0.000000
llegamos:@0.540904:0.855538:0.610800:0.855538:0.610800:0.838914:0.540904:0.838914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a una proposición verdadera me-:@0.610800:0.855538:0.879899:0.855538:0.879899:0.839149:0.610800:0.839149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diante pasos equivalentes, :@0.487501:0.872134:0.684969:0.872134:0.684969:0.855745:0.487501:0.855745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afirmamos:@0.685098:0.872134:0.766751:0.872134:0.766751:0.855510:0.685098:0.855510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que se cumple :@0.766751:0.872134:0.883914:0.872134:0.883914:0.855745:0.766751:0.855745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el  teorema  de  Pitágoras  en  el  triángulo  construido  :@0.487501:0.888731:0.883934:0.888731:0.883934:0.872342:0.487501:0.872342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
anteriormente.:@0.487501:0.905327:0.596498:0.905327:0.596498:0.888938:0.487501:0.888938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos::@0.148451:0.844460:0.199071:0.844460:0.199071:0.827559:0.148451:0.827559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.199071:0.844460:0.207143:0.844460:0.207143:0.828071:0.199071:0.828071:0.000000:0.000000
a:@0.148451:0.868179:0.157720:0.868179:0.157720:0.851818:0.148451:0.851818:0.000000
 = 9 cm:@0.157720:0.868179:0.213113:0.868179:0.213113:0.851790:0.157720:0.851790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115207:0.891898:0.119243:0.891898:0.119243:0.875509:0.115207:0.875509:0.000000
b:@0.148451:0.891898:0.157720:0.891898:0.157720:0.875537:0.148451:0.875537:0.000000
 = 12 cm:@0.157720:0.891898:0.222106:0.891898:0.222106:0.875509:0.157720:0.875509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115207:0.915617:0.119243:0.915617:0.119243:0.899228:0.115207:0.899228:0.000000
c:@0.148451:0.915617:0.156116:0.915617:0.156116:0.899256:0.148451:0.899256:0.000000
 = 15 cm:@0.156116:0.915617:0.220503:0.915617:0.220503:0.899228:0.156116:0.899228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.300294:0.844446:0.307960:0.844446:0.307960:0.828085:0.300294:0.828085:0.000000
2 =  2 +  2:@0.307960:0.844446:0.380418:0.844446:0.380418:0.828057:0.307960:0.828057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.332285:0.844446:0.341554:0.844446:0.341554:0.828085:0.332285:0.828085:0.000000
b:@0.365878:0.844446:0.375147:0.844446:0.375147:0.828085:0.365878:0.828085:0.000000
152 = 92 + 122:@0.300294:0.868165:0.399177:0.868165:0.399177:0.851776:0.300294:0.851776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
225 = 81 + 144:@0.300294:0.891884:0.410344:0.891884:0.410344:0.875495:0.300294:0.875495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
225 = 225:@0.300294:0.915603:0.373305:0.915603:0.373305:0.899214:0.300294:0.899214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b)  :@0.115354:0.802886:0.139200:0.802886:0.139200:0.785985:0.115354:0.785985:0.000000:0.000000:0.000000:0.000000
Un triángulo rectángulo tiene las siguientes medidas, :@0.148598:0.802886:0.550908:0.802886:0.550908:0.786497:0.148598:0.786497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verifiquemos:@0.552327:0.802886:0.652832:0.802886:0.652832:0.786262:0.552327:0.786262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que se cumple el teorema de :@0.652832:0.802886:0.883988:0.802886:0.883988:0.786497:0.652832:0.786497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pitágoras.:@0.148598:0.819482:0.218881:0.819482:0.218881:0.803093:0.148598:0.803093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.457261:0.590688:0.461297:0.590688:0.461297:0.574299:0.457261:0.574299:0.000000
Ubicamos :@0.490504:0.590688:0.571052:0.590688:0.571052:0.574064:0.490504:0.574064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el punto   y trazamos una semirrecta a la :@0.571899:0.590688:0.883912:0.590688:0.883912:0.574299:0.571899:0.574299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.639766:0.590688:0.649662:0.590688:0.649662:0.574326:0.639766:0.574326:0.000000
derecha de  . :@0.490504:0.607284:0.597071:0.607284:0.597071:0.590895:0.490504:0.590895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.579934:0.607284:0.589829:0.607284:0.589829:0.590923:0.579934:0.590923:0.000000
Ponemos:@0.598453:0.607284:0.670155:0.607284:0.670155:0.590660:0.598453:0.590660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la punta de acero del com-:@0.670155:0.607284:0.879936:0.607284:0.879936:0.590895:0.670155:0.590895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pás en un extremo del segmento dado   y la punta :@0.490504:0.623880:0.883933:0.623880:0.883933:0.607491:0.490504:0.607491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.791260:0.623880:0.798926:0.623880:0.798926:0.607519:0.791260:0.607519:0.000000
de grafito en el otro (así :@0.490504:0.640477:0.684048:0.640477:0.684048:0.624088:0.490504:0.624088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
capturamos:@0.687291:0.640477:0.778766:0.640477:0.778766:0.623853:0.687291:0.623853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con el com-:@0.778766:0.640477:0.879952:0.640477:0.879952:0.624088:0.778766:0.624088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pás la longitud del segmento  ). :@0.490504:0.657073:0.734173:0.657073:0.734173:0.640684:0.490504:0.640684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.714382:0.657073:0.722048:0.657073:0.722048:0.640712:0.714382:0.640712:0.000000
Transportamos :@0.735279:0.657073:0.854688:0.657073:0.854688:0.640449:0.735279:0.640449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esa :@0.855722:0.657073:0.883934:0.657073:0.883934:0.640684:0.855722:0.640684:0.000000:0.000000:0.000000:0.000000
 :@0.879899:0.657073:0.883934:0.657073:0.883934:0.640684:0.879899:0.640684:0.000000
longitud a partir del punto   sobre la semirrecta, ob-:@0.490504:0.673669:0.879899:0.673669:0.879899:0.657280:0.490504:0.657280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.692340:0.673669:0.702236:0.673669:0.702236:0.657308:0.692340:0.657308:0.000000
teniendo así el punto  . Con centro en   y radio igual :@0.490504:0.690266:0.883877:0.690266:0.883877:0.673877:0.490504:0.673877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.651357:0.690266:0.660203:0.690266:0.660203:0.673905:0.651357:0.673905:0.000000
B:@0.776868:0.690266:0.785713:0.690266:0.785713:0.673905:0.776868:0.673905:0.000000
a la longitud de  , :@0.490504:0.706862:0.629707:0.706862:0.629707:0.690473:0.490504:0.690473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.613196:0.706862:0.622465:0.706862:0.622465:0.690501:0.613196:0.690501:0.000000
trazamos:@0.630720:0.706862:0.701187:0.706862:0.701187:0.690238:0.630720:0.690238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un arco de circunferen-:@0.701187:0.706862:0.879917:0.706862:0.879917:0.690473:0.701187:0.690473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cia. Con centro en   y radio igual a la longitud de  , :@0.490504:0.723459:0.883951:0.723459:0.883951:0.707070:0.490504:0.707070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.631732:0.723459:0.641628:0.723459:0.641628:0.707097:0.631732:0.707097:0.000000
b:@0.867440:0.723459:0.876709:0.723459:0.876709:0.707097:0.867440:0.707097:0.000000
trazamos:@0.490504:0.740055:0.560972:0.740055:0.560972:0.723431:0.490504:0.723431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 otro arco que corte al anterior; así obtene-:@0.560972:0.740055:0.879899:0.740055:0.879899:0.723666:0.560972:0.723666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos el punto  . :@0.490504:0.756651:0.612974:0.756651:0.612974:0.740262:0.490504:0.740262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.595818:0.756651:0.605732:0.756651:0.605732:0.740290:0.595818:0.740290:0.000000
Tomamos:@0.614098:0.756651:0.689099:0.756651:0.689099:0.740027:0.614098:0.740027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el graduador y :@0.689099:0.756651:0.806686:0.756651:0.806686:0.740262:0.689099:0.740262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medimos:@0.807810:0.756651:0.879899:0.756651:0.879899:0.740027:0.807810:0.740027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879899:0.756651:0.883934:0.756651:0.883934:0.740262:0.879899:0.740262:0.000000
el ángulo :@0.490504:0.773248:0.563183:0.773248:0.563183:0.756859:0.490504:0.756859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.563183:0.773787:0.578533:0.773787:0.578533:0.758657:0.563183:0.758657:0.000000
C:@0.578533:0.773248:0.588447:0.773248:0.588447:0.756886:0.578533:0.756886:0.000000
 y :@0.588447:0.773248:0.604627:0.773248:0.604627:0.756859:0.588447:0.756859:0.000000:0.000000:0.000000
podemos :@0.604627:0.773248:0.681544:0.773248:0.681544:0.756624:0.604627:0.756624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprobar que mide 90º. :@0.681544:0.773248:0.874002:0.773248:0.874002:0.756859:0.681544:0.756859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.206104:0.771325:0.215100:0.771325:0.215100:0.756451:0.206104:0.756451:0.000000
B:@0.402593:0.771325:0.410634:0.771325:0.410634:0.756451:0.402593:0.756451:0.000000
c:@0.312666:0.771325:0.319635:0.771325:0.319635:0.756451:0.312666:0.756451:0.000000
b:@0.264084:0.724365:0.272510:0.724365:0.272510:0.709491:0.264084:0.709491:0.000000
a:@0.372254:0.726062:0.380681:0.726062:0.380681:0.711189:0.372254:0.711189:0.000000
C:@0.332953:0.685615:0.341966:0.685615:0.341966:0.670741:0.332953:0.670741:0.000000
90º:@0.327691:0.716004:0.345288:0.716004:0.345288:0.704085:0.327691:0.704085:0.000000:0.000000:0.000000
a:@0.186582:0.602030:0.195009:0.602030:0.195009:0.587156:0.186582:0.587156:0.000000
 = 6 cm:@0.195009:0.602030:0.245366:0.602030:0.245366:0.587131:0.195009:0.587131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.186582:0.629477:0.195009:0.629477:0.195009:0.614603:0.186582:0.614603:0.000000
 = 8 cm:@0.195009:0.629477:0.245366:0.629477:0.245366:0.614578:0.195009:0.614578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.183232:0.656923:0.190201:0.656923:0.190201:0.642050:0.183232:0.642050:0.000000
 = 10 cm:@0.190201:0.656923:0.248734:0.656923:0.248734:0.642024:0.190201:0.642024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.339322:0.301317:0.348318:0.301317:0.348318:0.286443:0.339322:0.286443:0.000000
B:@0.628201:0.306133:0.636242:0.306133:0.636242:0.291259:0.628201:0.291259:0.000000
c:@0.497884:0.309087:0.504853:0.309087:0.504853:0.294213:0.497884:0.294213:0.000000
b:@0.464546:0.258582:0.472973:0.258582:0.472973:0.243708:0.464546:0.243708:0.000000
a:@0.609086:0.267383:0.617513:0.267383:0.617513:0.252509:0.609086:0.252509:0.000000
C:@0.591094:0.228620:0.600107:0.228620:0.600107:0.213746:0.591094:0.213746:0.000000
Cateto:@0.633059:0.267383:0.677335:0.267383:0.677335:0.252484:0.633059:0.252484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
90º:@0.569324:0.247036:0.586921:0.247036:0.586921:0.235117:0.569324:0.235117:0.000000:0.000000:0.000000
Hipotenusa:@0.525410:0.310336:0.602806:0.310336:0.602806:0.295437:0.525410:0.295437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto:@0.498402:0.248496:0.540008:0.237130:0.533218:0.223130:0.491612:0.234495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000