97:@0.911172:0.510692:0.930079:0.510692:0.930079:0.494068:0.911172:0.494068:0.000000:0.000000
Tema:@0.916772:0.135475:0.952904:0.135475:0.952904:0.113749:0.916772:0.113749:0.000000:0.000000:0.000000:0.000000
7:@0.925058:0.122645:0.944618:0.122645:0.944618:0.065614:0.925058:0.065614:0.000000
Actividad resuelta:@0.120878:0.390387:0.278000:0.390387:0.278000:0.371950:0.120878:0.371950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontremos:@0.120878:0.410233:0.220698:0.410233:0.220698:0.393609:0.120878:0.393609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la longitud de la hipotenusa de un triángulo rectángulo :@0.220514:0.410233:0.627065:0.410233:0.627065:0.393845:0.220514:0.393845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuyos catetos miden 2√ 3 m y 2√ 6 m.:@0.120878:0.426830:0.393171:0.426830:0.393171:0.410441:0.120878:0.410441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.120884:0.460368:0.128550:0.460368:0.128550:0.444007:0.120884:0.444007:0.000000
 =  √ (2√ 3)2 + (2√ 6)2  =  √ 12 + 24 = 6 m:@0.129287:0.460368:0.397755:0.460373:0.397755:0.443984:0.129287:0.443979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.752237:0.396324:0.803382:0.396324:0.803382:0.381211:0.752237:0.381211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al :@0.803382:0.396324:0.821877:0.396324:0.821877:0.381425:0.803382:0.381425:0.000000:0.000000:0.000000:0.000000
enlace y :@0.752237:0.411412:0.810803:0.411412:0.810803:0.396512:0.752237:0.396512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realiza :@0.810803:0.411412:0.859251:0.411412:0.859251:0.396299:0.810803:0.396299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las actividades :@0.752237:0.426499:0.852199:0.426499:0.852199:0.411600:0.752237:0.411600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propuestas::@0.752237:0.441587:0.829616:0.441587:0.829616:0.426688:0.752237:0.426688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.691848:0.376891:0.711817:0.376891:0.711817:0.355165:0.691848:0.355165:0.000000:0.000000:0.000000
mayedu.ec/ctm9/p97:@0.691250:0.473746:0.834431:0.473746:0.834431:0.458621:0.691250:0.458621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un triángulo rectángulo es aquel que tiene un ángulo recto y dos :@0.120878:0.167757:0.627155:0.167757:0.627155:0.151368:0.120878:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agudos. Los lados que forman el ángulo recto se llaman catetos y la :@0.120878:0.184353:0.627065:0.184353:0.627065:0.167964:0.120878:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa es el lado más grande del triángulo. :@0.120878:0.200949:0.472507:0.200949:0.472507:0.184560:0.120878:0.184560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El teorema de Pitágoras establece que en todo triángulo rectángulo :@0.120878:0.221114:0.627159:0.221114:0.627159:0.204725:0.120878:0.204725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se cumple que el cuadrado de la hipotenusa es igual a la suma de los :@0.120878:0.237710:0.627196:0.237710:0.627196:0.221321:0.120878:0.221321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrados de los catetos. :@0.120878:0.254307:0.309831:0.254307:0.309831:0.237918:0.120878:0.237918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así, si   y   son los catetos y   la hipotenusa se cumple que  2 =  2 +  2.:@0.120878:0.274471:0.618350:0.274471:0.618350:0.258082:0.120878:0.258082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.161290:0.274471:0.194533:0.274471:0.194533:0.258110:0.161290:0.258110:0.000000:0.000000:0.000000
c:@0.315953:0.274471:0.323619:0.274471:0.323619:0.258110:0.315953:0.258110:0.000000
c:@0.532809:0.274471:0.540475:0.274471:0.540475:0.258110:0.532809:0.258110:0.000000
a:@0.565168:0.274471:0.574437:0.274471:0.574437:0.258110:0.565168:0.258110:0.000000
b:@0.598393:0.274471:0.607662:0.274471:0.607662:0.258110:0.598393:0.258110:0.000000
Un cateto es igual a la raíz cuadrada del cuadrado de la hipotenusa :@0.120896:0.294636:0.627177:0.294636:0.627177:0.278247:0.120896:0.278247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menos el cuadrado del otro cateto.:@0.120896:0.311232:0.377295:0.311232:0.377295:0.294843:0.120896:0.294843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.120896:0.331397:0.130165:0.331397:0.130165:0.315036:0.120896:0.315036:0.000000
2 =  2 –  2 y  2 =  2 –  2.:@0.130534:0.331397:0.299202:0.331397:0.299202:0.315008:0.130534:0.315008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.154121:0.331397:0.161787:0.331397:0.161787:0.315036:0.154121:0.315036:0.000000
b:@0.184711:0.331397:0.193980:0.331397:0.193980:0.315036:0.184711:0.315036:0.000000
b:@0.216167:0.331397:0.225436:0.331397:0.225436:0.315036:0.216167:0.315036:0.000000
c:@0.249392:0.331397:0.257058:0.331397:0.257058:0.315036:0.249392:0.315036:0.000000
a:@0.279982:0.331397:0.289251:0.331397:0.289251:0.315036:0.279982:0.315036:0.000000
De estas relaciones se tiene que:   = √  2 +  2;    = √  2 –  2;    = √  2 –  2:@0.120896:0.351561:0.621826:0.351540:0.621826:0.335151:0.120896:0.335173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.358207:0.351561:0.365873:0.351561:0.365873:0.335200:0.358207:0.335200:0.000000
a:@0.392923:0.351540:0.402192:0.351540:0.402192:0.335179:0.392923:0.335179:0.000000
b a:@0.426148:0.351540:0.460534:0.351540:0.460534:0.335179:0.426148:0.335179:0.000000:0.000000:0.000000
c:@0.486485:0.351540:0.494151:0.351540:0.494151:0.335179:0.486485:0.335179:0.000000
b b:@0.516338:0.351540:0.550743:0.351540:0.550743:0.335179:0.516338:0.335179:0.000000:0.000000:0.000000
c:@0.576697:0.351540:0.584363:0.351540:0.584363:0.335179:0.576697:0.335179:0.000000
a:@0.606550:0.351540:0.615819:0.351540:0.615819:0.335179:0.606550:0.335179:0.000000
Teorema de Pitágoras:@0.119762:0.141978:0.436734:0.141978:0.436734:0.101242:0.119762:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.15. Aplicar el teorema de Pitágoras en la resolución de triángulos rectángulos.:@0.130375:0.074999:0.518111:0.074999:0.518111:0.064570:0.130375:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.181714:0.543413:0.242609:0.543413:0.242609:0.509466:0.181714:0.509466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.6.1. Demuestra el teorema de Pitágoras valiéndose de diferentes estrategias y lo aplica en la resolución de ejercicios o situaciones :@0.262735:0.526158:0.883416:0.526158:0.883416:0.515729:0.262735:0.515729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales relacionadas a triángulos rectángulos.:@0.262735:0.536719:0.467808:0.536719:0.467808:0.526290:0.262735:0.526290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.121079:0.584650:0.139820:0.584650:0.139820:0.567514:0.121079:0.567514:0.000000:0.000000:0.000000
Escribe :@0.154322:0.584650:0.212977:0.584650:0.212977:0.568026:0.154322:0.568026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verdadero (V) o falso (F), según el análisis de cada proposición.:@0.212977:0.584650:0.669909:0.584650:0.669909:0.568261:0.212977:0.568261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.156207:0.614078:0.171115:0.614078:0.171115:0.597178:0.156207:0.597178:0.000000:0.000000
Todo triángulo tiene un ángulo recto.:@0.198038:0.614078:0.471647:0.614078:0.471647:0.597689:0.198038:0.597689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.156207:0.634506:0.172423:0.634506:0.172423:0.617605:0.156207:0.617605:0.000000:0.000000
El teorema de Pitágoras es aplicable solo en triángulos rectángulos.:@0.198038:0.634506:0.689569:0.634506:0.689569:0.618117:0.198038:0.618117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.156207:0.654933:0.170028:0.654933:0.170028:0.638032:0.156207:0.638032:0.000000:0.000000
Un triángulo de lados   = 3,   = 5,   = 1 es un triángulo rectángulo.:@0.198038:0.654933:0.686645:0.654933:0.686645:0.638544:0.198038:0.638544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.360404:0.654933:0.369673:0.654933:0.369673:0.638572:0.360404:0.638572:0.000000
b:@0.404962:0.654933:0.414231:0.654933:0.414231:0.638572:0.404962:0.638572:0.000000
c:@0.449520:0.654933:0.457185:0.654933:0.457185:0.638572:0.449520:0.638572:0.000000
d):@0.156207:0.675360:0.172460:0.675360:0.172460:0.658460:0.156207:0.658460:0.000000:0.000000
El cuadrado de la hipotenusa es igual a la diferencia de los cuadrados de los catetos.:@0.198038:0.675360:0.811984:0.675360:0.811984:0.658972:0.198038:0.658972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e):@0.156207:0.695788:0.171262:0.695788:0.171262:0.678887:0.156207:0.678887:0.000000:0.000000
La hipotenusa es el lado más grande del triángulo rectángulo.:@0.198038:0.695788:0.650373:0.695788:0.650373:0.679399:0.198038:0.679399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f):@0.156207:0.716215:0.169217:0.716215:0.169217:0.699315:0.156207:0.699315:0.000000:0.000000
La suma de los catetos de un triángulo rectángulo, siempre es mayor que el valor de :@0.198038:0.716215:0.822659:0.716215:0.822659:0.699826:0.198038:0.699826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la hipotenusa.:@0.198038:0.732812:0.300680:0.732812:0.300680:0.716423:0.198038:0.716423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g):@0.156207:0.753239:0.172313:0.753239:0.172313:0.736338:0.156207:0.736338:0.000000:0.000000
En un triángulo rectángulo ocurre que a mayor ángulo se opone mayor lado.:@0.198038:0.753239:0.760407:0.753239:0.760407:0.736850:0.198038:0.736850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h):@0.156207:0.773666:0.172294:0.773666:0.172294:0.756766:0.156207:0.756766:0.000000:0.000000
Un triángulo rectángulo no puede tener dos lados iguales.:@0.198038:0.773666:0.625386:0.773666:0.625386:0.757277:0.198038:0.757277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.156207:0.794094:0.166471:0.794094:0.166471:0.777193:0.156207:0.777193:0.000000:0.000000
Un triángulo rectángulo tiene dos ángulos agudos.:@0.198038:0.794094:0.571100:0.794094:0.571100:0.777705:0.198038:0.777705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j):@0.156207:0.814521:0.166729:0.814521:0.166729:0.797620:0.156207:0.797620:0.000000:0.000000
La suma de las medidas de los ángulos agudos de un triángulo rectángulo es igual :@0.198038:0.814521:0.822679:0.814521:0.822679:0.798132:0.198038:0.798132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.818588:0.814521:0.822624:0.814521:0.822624:0.798132:0.818588:0.798132:0.000000
a 90º.:@0.198038:0.831117:0.237841:0.831117:0.237841:0.814729:0.198038:0.814729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k):@0.156207:0.851545:0.171133:0.851545:0.171133:0.834644:0.156207:0.834644:0.000000:0.000000
Si uno de los ángulos de un triángulo rectángulo mide 25º, la medida de otro de sus :@0.198038:0.851545:0.822530:0.851545:0.822530:0.835156:0.198038:0.835156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos es 75º.:@0.198038:0.868141:0.307958:0.868141:0.307958:0.851752:0.198038:0.851752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l):@0.156207:0.888569:0.166490:0.888569:0.166490:0.871668:0.156207:0.871668:0.000000:0.000000
Un triángulo rectángulo puede tener un ángulo obtuso.:@0.198038:0.888569:0.607677:0.888569:0.607677:0.872180:0.198038:0.872180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m):@0.156207:0.908996:0.177380:0.908996:0.177380:0.892095:0.156207:0.892095:0.000000:0.000000
Un triángulo de lados   = 3,   = 4,   = 5 es un triángulo rectángulo.:@0.198038:0.908996:0.686645:0.908996:0.686645:0.892607:0.198038:0.892607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.360404:0.908996:0.369673:0.908996:0.369673:0.892635:0.360404:0.892635:0.000000
b:@0.404962:0.908996:0.414231:0.908996:0.414231:0.892635:0.404962:0.892635:0.000000
c:@0.449520:0.908996:0.457185:0.908996:0.457185:0.892635:0.449520:0.892635:0.000000
=:@0.731293:0.321404:0.742276:0.321404:0.742276:0.305015:0.731293:0.305015:0.000000
c:@0.676029:0.321155:0.683953:0.321155:0.683953:0.305499:0.676029:0.305499:0.000000
2:@0.683953:0.321155:0.690089:0.321155:0.690089:0.304254:0.683953:0.304254:0.000000
c:@0.791846:0.199766:0.799770:0.199766:0.799770:0.184110:0.791846:0.184110:0.000000
2:@0.799770:0.199766:0.805907:0.199766:0.805907:0.182866:0.799770:0.182866:0.000000
a:@0.767024:0.321155:0.776975:0.321155:0.776975:0.305499:0.767024:0.305499:0.000000
2:@0.776975:0.321155:0.783112:0.321155:0.783112:0.304254:0.776975:0.304254:0.000000
a:@0.709678:0.222171:0.719629:0.222171:0.719629:0.206515:0.709678:0.206515:0.000000
2:@0.719629:0.222171:0.725765:0.222171:0.725765:0.205271:0.719629:0.205271:0.000000
b:@0.847756:0.321155:0.857799:0.321155:0.857799:0.305499:0.847756:0.305499:0.000000
2:@0.857799:0.321155:0.863935:0.321155:0.863935:0.304254:0.857799:0.304254:0.000000
b:@0.768757:0.263801:0.778800:0.263801:0.778800:0.248145:0.768757:0.248145:0.000000
2:@0.778800:0.263801:0.784936:0.263801:0.784936:0.246900:0.778800:0.246900:0.000000
+:@0.805944:0.321390:0.816926:0.321390:0.816926:0.305001:0.805944:0.305001:0.000000
F:@0.850907:0.613707:0.859421:0.613707:0.859421:0.597319:0.850907:0.597319:0.000000
V:@0.850483:0.633831:0.859863:0.633831:0.859863:0.617442:0.850483:0.617442:0.000000
F:@0.850907:0.653954:0.859421:0.653954:0.859421:0.637565:0.850907:0.637565:0.000000
F:@0.850907:0.674077:0.859421:0.674077:0.859421:0.657688:0.850907:0.657688:0.000000
V:@0.850483:0.694200:0.859863:0.694200:0.859863:0.677811:0.850483:0.677811:0.000000
V:@0.850483:0.724378:0.859863:0.724378:0.859863:0.707989:0.850483:0.707989:0.000000
V:@0.850483:0.753297:0.859863:0.753297:0.859863:0.736908:0.850483:0.736908:0.000000
F:@0.850907:0.773420:0.859421:0.773420:0.859421:0.757031:0.850907:0.757031:0.000000
V:@0.850483:0.793543:0.859863:0.793543:0.859863:0.777154:0.850483:0.777154:0.000000
V:@0.850483:0.824979:0.859863:0.824979:0.859863:0.808590:0.850483:0.808590:0.000000
V:@0.850483:0.859030:0.859863:0.859030:0.859863:0.842641:0.850483:0.842641:0.000000
F:@0.850907:0.885943:0.859421:0.885943:0.859421:0.869554:0.850907:0.869554:0.000000
V:@0.850483:0.908570:0.859863:0.908570:0.859863:0.892181:0.850483:0.892181:0.000000
 ©:@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