104:@0.048054:0.510692:0.076414:0.510692:0.076414:0.494068:0.048054:0.494068:0.000000:0.000000:0.000000
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
1. :@0.115209:0.725676:0.132107:0.725676:0.132107:0.708541:0.115209:0.708541:0.000000:0.000000:0.000000
Responde :@0.148452:0.725676:0.229331:0.725676:0.229331:0.709052:0.148452:0.709052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V (verdadero) o F (falso), según corresponda.:@0.229331:0.725676:0.554098:0.725676:0.554098:0.709287:0.229331:0.709287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.686953:0.236739:0.686953:0.236739:0.653006:0.175844:0.653006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.6.1. Demuestra el teorema de Pitágoras valiéndose de diferentes estrategias y lo aplica en la resolución de ejercicios o situaciones :@0.256865:0.664418:0.877546:0.664418:0.877546:0.653989:0.256865:0.653989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales relacionadas a triángulos rectángulos; demuestra creatividad en los procesos empleados y valora el trabajo individual o grupal. :@0.256865:0.674980:0.877500:0.674980:0.877500:0.664550:0.256865:0.664550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(I.1., S.4.) :@0.256865:0.685541:0.297780:0.685541:0.297780:0.675112:0.256865:0.675112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115354:0.397315:0.272476:0.397315:0.272476:0.378878:0.115354:0.378878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvemos:@0.115354:0.417160:0.207031:0.417160:0.207031:0.400536:0.115354:0.400536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes problemas.:@0.207031:0.417160:0.395874:0.417160:0.395874:0.400771:0.207031:0.400771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148597:0.440879:0.167320:0.440879:0.167320:0.423978:0.148597:0.423978:0.000000:0.000000:0.000000
Los catetos de un triángulo rectángulo :@0.181841:0.440879:0.491700:0.440879:0.491700:0.424490:0.181841:0.424490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miden 7 m y 10 m. ¿Cuánto mide la hipo-:@0.181841:0.457475:0.487648:0.457475:0.487648:0.441086:0.181841:0.441086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenusa?:@0.181841:0.474072:0.238285:0.474072:0.238285:0.457683:0.181841:0.457683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.540849:0.440616:0.560879:0.440616:0.560879:0.423715:0.540849:0.423715:0.000000:0.000000:0.000000
En un triángulo rectángulo, la hipotenusa :@0.574092:0.440616:0.883934:0.440616:0.883934:0.424227:0.574092:0.424227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mide 100 m y uno de los catetos 60 m. :@0.574092:0.457212:0.883916:0.457212:0.883916:0.440824:0.574092:0.440824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuánto mide el otro cateto?:@0.574092:0.473809:0.785840:0.473809:0.785840:0.457420:0.574092:0.457420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El teorema de Pitágoras se puede aplicar únicamente en triángulos rectángulos (triángulos que tienen :@0.115207:0.167758:0.883859:0.167758:0.883859:0.151369:0.115207:0.151369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un ángulo recto) y se utiliza para hallar un lado desconocido dados los valores de los otros dos lados, así: :@0.115207:0.184354:0.881461:0.184354:0.881461:0.167965:0.115207:0.167965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean:   = cateto 1                 = cateto 2              = hipotenusa:@0.115207:0.208073:0.556086:0.208073:0.556086:0.191684:0.115207:0.191684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.158272:0.208073:0.167542:0.208073:0.167542:0.191712:0.158272:0.191712:0.000000
b:@0.306652:0.208073:0.315921:0.208073:0.315921:0.191712:0.306652:0.191712:0.000000
c :@0.446958:0.208073:0.457941:0.208073:0.457941:0.191712:0.446958:0.191712:0.000000:0.000000
Aplicaciones del teorema de Pitágoras:@0.115891:0.141978:0.678213:0.141978:0.678213:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.15. Aplicar el teorema de Pitágoras en la resolución de triángulos rectángulos.:@0.125388:0.074999:0.513124:0.074999:0.513124:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.048475:0.122645:0.082036:0.122645:0.082036:0.065614:0.048475:0.065614:0.000000:0.000000
a):@0.151247:0.750485:0.166154:0.750485:0.166154:0.733585:0.151247:0.733585:0.000000:0.000000
El teorema de Pitágoras se aplica en todo tipo de triángulos.:@0.184969:0.750485:0.623908:0.750485:0.623908:0.734097:0.184969:0.734097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.151247:0.770913:0.167463:0.770913:0.167463:0.754012:0.151247:0.754012:0.000000:0.000000
Para hallar la hipotenusa, dentro de la raíz va la suma.:@0.184969:0.770913:0.572830:0.770913:0.572830:0.754524:0.184969:0.754524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.151247:0.791340:0.165067:0.791340:0.165067:0.774440:0.151247:0.774440:0.000000:0.000000
Los catetos siempre forman un ángulo recto entre ellos.:@0.184969:0.791340:0.592102:0.791340:0.592102:0.774951:0.184969:0.774951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.151247:0.811768:0.167500:0.811768:0.167500:0.794867:0.151247:0.794867:0.000000:0.000000
Al obtener la raíz cuadrada, siempre resulta un número entero.:@0.184969:0.811768:0.641396:0.811768:0.641396:0.795379:0.184969:0.795379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e):@0.151247:0.832195:0.166302:0.832195:0.166302:0.815294:0.151247:0.815294:0.000000:0.000000
Para hallar un cateto, dentro de la raíz va la resta.:@0.184969:0.832195:0.538242:0.832195:0.538242:0.815806:0.184969:0.815806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f):@0.151247:0.852622:0.164256:0.852622:0.164256:0.835722:0.151247:0.835722:0.000000:0.000000
Si los ángulos agudos de un triángulo son 30° y 40°, se puede aplicar el teorema de Pitágoras.:@0.184969:0.852622:0.813921:0.852622:0.813921:0.836233:0.184969:0.836233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g):@0.151247:0.873050:0.167352:0.873050:0.167352:0.856149:0.151247:0.856149:0.000000:0.000000
Si el triángulo no es un triángulo rectángulo, se puede trazar una altura para dividirlo :@0.184969:0.873050:0.817922:0.873050:0.817922:0.856661:0.184969:0.856661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en dos triángulos rectángulos.:@0.184969:0.889646:0.406263:0.889646:0.406263:0.873257:0.184969:0.873257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h):@0.151247:0.910073:0.167334:0.910073:0.167334:0.893173:0.151247:0.893173:0.000000:0.000000
En un triángulo rectángulo, la hipotenusa es igual a la suma de los cuadrados de los catetos.:@0.184969:0.910073:0.806865:0.910073:0.806865:0.893685:0.184969:0.893685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando se conocen los catetos  Cuando se conoce la hipotenusa :@0.376911:0.232208:0.883800:0.232208:0.883800:0.215819:0.376911:0.215819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.618350:0.232208:0.622386:0.232208:0.622386:0.215819:0.618350:0.215819:0.000000
y se requiere encontrar la hipote-:@0.376911:0.248805:0.618350:0.248805:0.618350:0.232416:0.376911:0.232416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nusa, se aplicar la ecuación::@0.376911:0.265401:0.577828:0.265401:0.577828:0.249012:0.376911:0.249012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y un cateto, se puede encontrar el :@0.638289:0.248805:0.883763:0.248805:0.883763:0.232416:0.638289:0.232416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otro cateto aplicando las ecuaciones::@0.638289:0.265401:0.879709:0.265401:0.879709:0.249012:0.638289:0.249012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para hallar la hipotenusa dentro de la raíz va una suma y para hallar un cateto, dentro de la raíz se realiza :@0.115902:0.348189:0.884075:0.348189:0.884075:0.331800:0.115902:0.331800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una resta de cuadrados, la hipotenusa al cuadrado menos el cateto conocido al cuadrado.:@0.115902:0.364786:0.772752:0.364786:0.772752:0.348397:0.115902:0.348397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.161561:0.316475:0.169672:0.316475:0.169672:0.303089:0.161561:0.303089:0.000000
a:@0.231052:0.316475:0.238635:0.316475:0.238635:0.303089:0.231052:0.303089:0.000000
A:@0.167486:0.229095:0.175583:0.229095:0.175583:0.215709:0.167486:0.215709:0.000000
B:@0.304206:0.306450:0.311443:0.306450:0.311443:0.293063:0.304206:0.293063:0.000000
c:@0.237655:0.268542:0.243927:0.268542:0.243927:0.255155:0.237655:0.255155:0.000000
b:@0.157038:0.278036:0.164622:0.278036:0.164622:0.264649:0.157038:0.264649:0.000000
b:@0.713221:0.316689:0.722490:0.316689:0.722490:0.300328:0.713221:0.300328:0.000000
 = √  2 –  2:@0.722490:0.316689:0.798172:0.316689:0.798172:0.300300:0.722490:0.300300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.754149:0.316689:0.761814:0.316689:0.761814:0.300328:0.754149:0.300328:0.000000
a:@0.783633:0.316689:0.792902:0.316689:0.792902:0.300328:0.783633:0.300328:0.000000
a:@0.713221:0.289823:0.722490:0.289823:0.722490:0.273462:0.713221:0.273462:0.000000
 = √  2 –  2:@0.722490:0.289823:0.798172:0.289823:0.798172:0.273434:0.722490:0.273434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.754149:0.289823:0.761814:0.289823:0.761814:0.273462:0.754149:0.273462:0.000000
b:@0.783633:0.289823:0.792902:0.289823:0.792902:0.273462:0.783633:0.273462:0.000000
c:@0.456343:0.313646:0.464009:0.313646:0.464009:0.297285:0.456343:0.297285:0.000000
 = √ 2 +  2:@0.464009:0.313646:0.541239:0.313646:0.541239:0.297257:0.464009:0.297257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.493106:0.313646:0.502375:0.313646:0.502375:0.297285:0.493106:0.297285:0.000000
b:@0.526700:0.313646:0.535969:0.313646:0.535969:0.297285:0.526700:0.297285:0.000000
c  = a  + b:@0.456343:0.287760:0.528321:0.287760:0.528321:0.271398:0.456343:0.271398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.464009:0.287760:0.469279:0.287760:0.469279:0.271371:0.464009:0.271371:0.000000
2:@0.496165:0.287760:0.501435:0.287760:0.501435:0.271371:0.496165:0.271371:0.000000
2:@0.528321:0.287760:0.533591:0.287760:0.533591:0.271371:0.528321:0.271371:0.000000
a:@0.283748:0.571685:0.291332:0.571685:0.291332:0.558298:0.283748:0.558298:0.000000
 = 10 m:@0.291332:0.571685:0.337106:0.571685:0.337106:0.558276:0.291332:0.558276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.312138:0.522484:0.318410:0.522484:0.318410:0.509098:0.312138:0.509098:0.000000
 = ?:@0.318410:0.522484:0.339744:0.522484:0.339744:0.509075:0.318410:0.509075:0.000000:0.000000:0.000000:0.000000
b:@0.192908:0.531978:0.200492:0.531978:0.200492:0.518591:0.192908:0.518591:0.000000
 = 7 m:@0.200492:0.531978:0.239089:0.531978:0.239089:0.518569:0.200492:0.518569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.181836:0.598580:0.189502:0.598580:0.189502:0.582218:0.181836:0.582218:0.000000
 = √  2 +  2:@0.189502:0.598580:0.268557:0.598580:0.268557:0.582191:0.189502:0.582191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.221161:0.598580:0.230430:0.598580:0.230430:0.582218:0.221161:0.582218:0.000000
b:@0.254017:0.598580:0.263287:0.598580:0.263287:0.582218:0.254017:0.582218:0.000000
c:@0.320037:0.598580:0.327703:0.598580:0.327703:0.582218:0.320037:0.582218:0.000000
 = √ 149:@0.327703:0.598580:0.384865:0.598580:0.384865:0.582191:0.327703:0.582191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.320037:0.622688:0.327703:0.622688:0.327703:0.606327:0.320037:0.606327:0.000000
 = 12,2 m:@0.327703:0.622688:0.392384:0.622688:0.392384:0.606299:0.327703:0.606299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c :@0.181830:0.622688:0.192813:0.622688:0.192813:0.606327:0.181830:0.606327:0.000000:0.000000
= √ 102 + 72:@0.192426:0.622688:0.273234:0.622688:0.273234:0.606299:0.192426:0.606299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.679708:0.571833:0.687291:0.571833:0.687291:0.558447:0.679708:0.558447:0.000000
 = ?:@0.687291:0.571833:0.708626:0.571833:0.708626:0.558424:0.687291:0.558424:0.000000:0.000000:0.000000:0.000000
c:@0.706424:0.523888:0.712696:0.523888:0.712696:0.510502:0.706424:0.510502:0.000000
 = 100 m:@0.712696:0.523888:0.766009:0.523888:0.766009:0.510479:0.712696:0.510479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.580500:0.533382:0.588084:0.533382:0.588084:0.519996:0.580500:0.519996:0.000000
 = 60 m:@0.588084:0.533382:0.634039:0.533382:0.634039:0.519973:0.588084:0.519973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.573129:0.598580:0.582398:0.598580:0.582398:0.582218:0.573129:0.582218:0.000000
 = √  2 –  2:@0.582398:0.598580:0.658080:0.598580:0.658080:0.582191:0.582398:0.582191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.614057:0.598580:0.621722:0.598580:0.621722:0.582218:0.614057:0.582218:0.000000
b:@0.643541:0.598580:0.652810:0.598580:0.652810:0.582218:0.643541:0.582218:0.000000
a:@0.711331:0.598580:0.720600:0.598580:0.720600:0.582218:0.711331:0.582218:0.000000
 = √ 6 400:@0.720600:0.598580:0.789315:0.598580:0.789315:0.582191:0.720600:0.582191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.711331:0.621431:0.720600:0.621431:0.720600:0.605070:0.711331:0.605070:0.000000
 = 80 m:@0.720600:0.621431:0.774556:0.621431:0.774556:0.605042:0.720600:0.605042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.571447:0.621431:0.580716:0.621431:0.580716:0.605070:0.571447:0.605070:0.000000
 = √ 1002 – 602:@0.580716:0.621431:0.682951:0.621431:0.682951:0.605042:0.580716:0.605042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.845987:0.749031:0.854500:0.749031:0.854500:0.732642:0.845987:0.732642:0.000000
V:@0.845563:0.770025:0.854943:0.770025:0.854943:0.753636:0.845563:0.753636:0.000000
V:@0.845563:0.791020:0.854943:0.791020:0.854943:0.774631:0.845563:0.774631:0.000000
F:@0.845987:0.812014:0.854500:0.812014:0.854500:0.795625:0.845987:0.795625:0.000000
V:@0.845563:0.832137:0.854943:0.832137:0.854943:0.815748:0.845563:0.815748:0.000000
F:@0.845987:0.852260:0.854500:0.852260:0.854500:0.835871:0.845987:0.835871:0.000000
V:@0.845563:0.883697:0.854943:0.883697:0.854943:0.867308:0.845563:0.867308:0.000000
F:@0.845987:0.910099:0.854500:0.910099:0.854500:0.893710:0.845987:0.893710:0.000000