﻿116:@0.024814:0.963884:0.056738:0.963884:0.056738:0.945447:0.024814:0.945447:0.000000:0.000000:0.000000
M.4.2.14. :@0.096359:0.936830:0.144696:0.936830:0.144696:0.926075:0.096359:0.926075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Demostrar el teorema de Pitágoras utilizando áreas de regiones rectangulares.:@0.144696:0.936830:0.507678:0.936830:0.507678:0.926858:0.144696:0.926858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.15. :@0.096359:0.947602:0.144696:0.947602:0.144696:0.936847:0.096359:0.936847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar el teorema de Pitágoras en la resolución de triángulos rectángulos.:@0.144696:0.947602:0.489689:0.947602:0.489689:0.937630:0.144696:0.937630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema de Pitágoras:@0.305303:0.084620:0.617866:0.084620:0.617866:0.053892:0.305303:0.053892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 6:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un triángulo rectángulo es aquel que tiene un ángulo recto y dos agudos. Los lados :@0.304744:0.204554:0.907145:0.204554:0.907145:0.188884:0.304744:0.188884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que forman el ángulo recto se llaman catetos y el lado más grande del triángulo :@0.304744:0.221150:0.907068:0.221150:0.907068:0.205481:0.304744:0.205481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es la hipotenusa.:@0.304744:0.237747:0.427230:0.237747:0.427230:0.222077:0.304744:0.222077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un colegio, la cancha de fútbol mide 125 metros de largo. Si la longitud de sus :@0.304744:0.261466:0.907235:0.261466:0.907235:0.245796:0.304744:0.245796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diagonales es de 150 metros, ¿cuál es el ancho de la cancha?:@0.304744:0.278062:0.748828:0.278062:0.748828:0.262392:0.304744:0.262392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Podemos observar que la diagonal de la cancha forma un triángulo rectángulo, :@0.304744:0.301781:0.907121:0.301781:0.907121:0.286111:0.304744:0.286111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde el largo sería uno de los catetos, y la diagonal sería la hipotenusa. Para hallar :@0.304744:0.318378:0.907215:0.318378:0.907215:0.302708:0.304744:0.302708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el ancho, tendremos que encontrar la medida del otro cateto mediante el teorema :@0.304744:0.334974:0.907088:0.334974:0.907088:0.319304:0.304744:0.319304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Pitágoras.:@0.304744:0.351570:0.398023:0.351570:0.398023:0.335901:0.304744:0.335901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   y   son catetos,:@0.609224:0.531309:0.738973:0.531309:0.738973:0.515639:0.609224:0.515639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.613259:0.531309:0.647977:0.531309:0.647977:0.514948:0.613259:0.514948:0.000000:0.000000:0.000000
 c es la hipotenusa.:@0.609224:0.555028:0.748000:0.555028:0.748000:0.539358:0.609224:0.539358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Siempre se cumple que   >   y  >  . :@0.609224:0.578747:0.885489:0.578747:0.885489:0.563077:0.609224:0.563077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.790808:0.578747:0.798474:0.578747:0.798474:0.562386:0.790808:0.562386:0.000000
a c  b:@0.817528:0.578747:0.878247:0.578747:0.878247:0.562386:0.817528:0.562386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A partir de la fórmula del teorema de Pitágoras, despejamos para obtener las fórmulas.:@0.304117:0.753908:0.902369:0.753908:0.902369:0.738238:0.304117:0.738238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para  resolver  el  problema  planteado  al  inicio,  es  necesario  identificar  lo  que :@0.304117:0.777627:0.906494:0.777627:0.906494:0.761957:0.304117:0.761957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deseamos hallar, en este caso, un cateto. Por lo tanto, la fórmula que se aplica es: :@0.304117:0.794223:0.906588:0.794223:0.906588:0.778553:0.304117:0.778553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.307099:0.852930:0.316368:0.852930:0.316368:0.836569:0.307099:0.836569:0.000000
150 –125          :@0.344212:0.852930:0.466079:0.851673:0.466079:0.836003:0.344212:0.837261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.371283:0.845268:0.376494:0.845268:0.376494:0.836187:0.371283:0.836187:0.000000
2:@0.417408:0.845268:0.422620:0.845268:0.422620:0.836187:0.417408:0.836187:0.000000
=:@0.319769:0.853608:0.329886:0.853608:0.329886:0.838035:0.319769:0.838035:0.000000
a:@0.467126:0.853203:0.476395:0.853203:0.481522:0.837810:0.472253:0.837810:0.000000
=:@0.480056:0.853881:0.490173:0.853881:0.490173:0.838308:0.480056:0.838308:0.000000
6 875      = 82,91 :@0.505504:0.853203:0.642289:0.851673:0.642289:0.836003:0.505504:0.837533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.567657:0.851673:0.584058:0.851673:0.584058:0.834565:0.567657:0.834565:0.000000:0.000000:0.000000
a:@0.571048:0.851673:0.580667:0.851673:0.580667:0.835035:0.571048:0.835035:0.000000
m:@0.642289:0.851673:0.656921:0.851673:0.656921:0.835312:0.642289:0.835312:0.000000
Solución: :@0.304115:0.878811:0.371795:0.878811:0.371795:0.863698:0.304115:0.863698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El ancho de la cancha de fútbol es 82,91 metros.:@0.304115:0.902850:0.656004:0.902850:0.656004:0.887180:0.304115:0.887180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema  de  Pitágoras:@0.319826:0.383898:0.500490:0.383898:0.500490:0.366997:0.319826:0.366997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. En todo triángulo rectángulo el cuadrado de la :@0.500490:0.383898:0.891726:0.383898:0.891726:0.368228:0.500490:0.368228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa es igual a la suma de los cuadrados de cada cateto. :@0.316472:0.400494:0.780270:0.400494:0.780270:0.384825:0.316472:0.384825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c :@0.558022:0.418944:0.569004:0.418944:0.569004:0.402583:0.558022:0.402583:0.000000:0.000000
2 =   2 +   2:@0.569004:0.418944:0.649533:0.418944:0.649533:0.403274:0.569004:0.403274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.593329:0.418944:0.602598:0.418944:0.602598:0.402583:0.593329:0.402583:0.000000
b:@0.630958:0.418944:0.640227:0.418944:0.640227:0.402583:0.630958:0.402583:0.000000
Recuerda  :@0.311168:0.169502:0.392967:0.169502:0.392967:0.152601:0.311168:0.152601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. ¿Qué es un triángulo rectángulo?:@0.385946:0.169502:0.636632:0.169502:0.636632:0.153832:0.385946:0.153832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.344861:0.139515:0.470369:0.139515:0.470369:0.122615:0.344861:0.122615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para encontrar la hipotenusa:@0.348082:0.626185:0.562695:0.626185:0.562695:0.610607:0.348082:0.610607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para encontrar los catetos:@0.658454:0.626185:0.850652:0.626185:0.850652:0.610607:0.658454:0.610607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.327378:0.663933:0.337495:0.663933:0.337495:0.648360:0.327378:0.648360:0.000000
+:@0.373023:0.663933:0.383140:0.663933:0.383140:0.648360:0.373023:0.648360:0.000000
c:@0.315913:0.663255:0.323578:0.663255:0.323578:0.646894:0.315913:0.646894:0.000000
a:@0.353652:0.663255:0.362921:0.663255:0.362921:0.646894:0.353652:0.646894:0.000000
b:@0.385901:0.663255:0.395170:0.663255:0.395170:0.646894:0.385901:0.646894:0.000000
2:@0.363499:0.655593:0.368711:0.655593:0.368711:0.646512:0.363499:0.646512:0.000000
2:@0.395752:0.655593:0.400964:0.655593:0.400964:0.646512:0.395752:0.646512:0.000000
La hipotenusa es igual a la raíz cuadrada :@0.312929:0.681800:0.583916:0.681800:0.583916:0.667555:0.312929:0.667555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la suma de los catetos elevados al :@0.312929:0.696888:0.562082:0.696888:0.562082:0.682643:0.312929:0.682643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado.:@0.312929:0.711976:0.379201:0.711976:0.379201:0.697730:0.312929:0.697730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.627698:0.662350:0.637815:0.662350:0.637815:0.646777:0.627698:0.646777:0.000000
−:@0.672201:0.662350:0.682318:0.662350:0.682318:0.646777:0.672201:0.646777:0.000000
=:@0.627330:0.687922:0.637446:0.687922:0.637446:0.672349:0.627330:0.672349:0.000000
−:@0.671832:0.687922:0.681949:0.687922:0.681949:0.672349:0.671832:0.672349:0.000000
a:@0.615080:0.661672:0.624349:0.661672:0.624349:0.645311:0.615080:0.645311:0.000000
c:@0.653981:0.661672:0.661647:0.661672:0.661647:0.645311:0.653981:0.645311:0.000000
b:@0.685068:0.661672:0.694337:0.661672:0.694337:0.645311:0.685068:0.645311:0.000000
b:@0.614715:0.687250:0.623984:0.687250:0.623984:0.670888:0.614715:0.670888:0.000000
c:@0.653616:0.687250:0.661282:0.687250:0.661282:0.670888:0.653616:0.670888:0.000000
a:@0.685072:0.687250:0.694341:0.687250:0.694341:0.670888:0.685072:0.670888:0.000000
2:@0.662669:0.654010:0.667880:0.654010:0.667880:0.644929:0.662669:0.644929:0.000000
2:@0.694921:0.654010:0.700133:0.654010:0.700133:0.644929:0.694921:0.644929:0.000000
2:@0.662306:0.679587:0.667517:0.679587:0.667517:0.670505:0.662306:0.670505:0.000000
2:@0.694921:0.679587:0.700133:0.679587:0.700133:0.670505:0.694921:0.670505:0.000000
   :@0.707585:0.667628:0.718592:0.667628:0.718592:0.653383:0.707585:0.653383:0.000000:0.000000:0.000000
=:@0.734193:0.636035:0.744310:0.636035:0.744310:0.620462:0.734193:0.620462:0.000000
−:@0.778696:0.636035:0.788813:0.636035:0.788813:0.620462:0.778696:0.620462:0.000000
=:@0.733825:0.661607:0.743941:0.661607:0.743941:0.646034:0.733825:0.646034:0.000000
−:@0.778327:0.661607:0.788444:0.661607:0.788444:0.646034:0.778327:0.646034:0.000000
a:@0.721570:0.635357:0.730839:0.635357:0.730839:0.618996:0.721570:0.618996:0.000000
c:@0.760471:0.635357:0.768137:0.635357:0.768137:0.618996:0.760471:0.618996:0.000000
b:@0.791558:0.635357:0.800827:0.635357:0.800827:0.618996:0.791558:0.618996:0.000000
b:@0.721210:0.660934:0.730479:0.660934:0.730479:0.644573:0.721210:0.644573:0.000000
c:@0.760111:0.660934:0.767777:0.660934:0.767777:0.644573:0.760111:0.644573:0.000000
a:@0.791567:0.660934:0.800836:0.660934:0.800836:0.644573:0.791567:0.644573:0.000000
2:@0.769164:0.627695:0.774375:0.627695:0.774375:0.618613:0.769164:0.618613:0.000000
2:@0.801416:0.627695:0.806628:0.627695:0.806628:0.618613:0.801416:0.618613:0.000000
2:@0.768801:0.653271:0.774012:0.653271:0.774012:0.644190:0.768801:0.644190:0.000000
2:@0.801416:0.653271:0.806628:0.653271:0.806628:0.644190:0.801416:0.644190:0.000000
Un cateto es igual a la raíz cuadrada del :@0.612097:0.682716:0.878592:0.682716:0.878592:0.668470:0.612097:0.668470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado de la hipotenusa menos el :@0.612097:0.697803:0.859394:0.697803:0.859394:0.683558:0.612097:0.683558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado del otro cateto.:@0.612097:0.712891:0.780188:0.712891:0.780188:0.698646:0.612097:0.698646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.750862:0.471239:0.761845:0.471239:0.761845:0.454338:0.750862:0.454338:0.000000
= a2:@0.695634:0.471239:0.736359:0.471239:0.736359:0.454338:0.695634:0.454338:0.000000:0.000000:0.000000:0.000000
c2:@0.659516:0.471239:0.673926:0.471239:0.673926:0.454338:0.659516:0.454338:0.000000:0.000000
b2:@0.780217:0.471239:0.797133:0.471239:0.797133:0.454338:0.780217:0.454338:0.000000:0.000000
c2 = a2 + b2:@0.315301:0.561061:0.384618:0.561061:0.384618:0.547122:0.315301:0.547122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.354526:0.467005:0.362672:0.467005:0.362672:0.453066:0.354526:0.453066:0.000000
5:@0.437430:0.462362:0.445576:0.462362:0.445576:0.448424:0.437430:0.448424:0.000000
c:@0.437264:0.523440:0.443112:0.523440:0.443112:0.511492:0.437264:0.511492:0.000000
a:@0.439595:0.540216:0.446213:0.540216:0.446213:0.528269:0.439595:0.528269:0.000000
b:@0.460738:0.523440:0.468358:0.523440:0.468358:0.511492:0.460738:0.511492:0.000000
4:@0.505784:0.480046:0.513930:0.480046:0.513930:0.466108:0.505784:0.466108:0.000000
4:@0.550922:0.514208:0.559068:0.514208:0.559068:0.500270:0.550922:0.500270:0.000000
3:@0.477486:0.564931:0.485632:0.564931:0.485632:0.550993:0.477486:0.550993:0.000000
3:@0.437425:0.596481:0.445571:0.596481:0.445571:0.582543:0.437425:0.582543:0.000000
3 9:@0.438823:0.567886:0.446976:0.567888:0.446976:0.553949:0.438823:0.553947:0.000000:0.000000:0.000000
16:@0.503101:0.518248:0.519393:0.518248:0.519393:0.504309:0.503101:0.504309:0.000000:0.000000
25:@0.395060:0.495207:0.411352:0.495207:0.411352:0.481269:0.395060:0.481269:0.000000:0.000000
125:@0.176074:0.208261:0.194121:0.208261:0.194121:0.197682:0.176074:0.197682:0.000000:0.000000:0.000000
 :@0.194121:0.208261:0.196548:0.208261:0.196548:0.197506:0.194121:0.197506:0.000000
m:@0.196548:0.208261:0.206023:0.208261:0.206023:0.197673:0.196548:0.197673:0.000000
150 :@0.152949:0.285314:0.173482:0.285314:0.173482:0.274735:0.152949:0.274735:0.000000:0.000000:0.000000:0.000000
m:@0.173482:0.285314:0.182957:0.285314:0.182957:0.274727:0.173482:0.274727:0.000000
Shutterstock, 440510800:@0.091447:0.305659:0.091447:0.231692:0.080059:0.231692:0.080059:0.305659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.300387:0.521736:0.300387:0.471427:0.288998:0.471427:0.288998:0.521736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.841695:0.727575:0.904828:0.727575:0.904828:0.718967:0.841695:0.718967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.143921:0.600527:0.236427:0.600527:0.236427:0.585163:0.143921:0.585163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Medicina:@0.147539:0.615615:0.225890:0.615615:0.225890:0.600251:0.147539:0.600251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si queremos determinar :@0.106161:0.634261:0.270550:0.634261:0.270550:0.620015:0.106161:0.620015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la distancia de un pico :@0.106161:0.649348:0.259110:0.649348:0.259110:0.635103:0.106161:0.635103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que mide la frecuencia :@0.106161:0.664436:0.261873:0.664436:0.261873:0.650191:0.106161:0.650191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cardíaca un uso sencillo :@0.106161:0.679523:0.264387:0.679523:0.264387:0.665278:0.106161:0.665278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del teorema de Pitágoras :@0.106161:0.694611:0.270183:0.694611:0.270183:0.680366:0.106161:0.680366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nos puede ser de mucha :@0.106161:0.709699:0.270803:0.709699:0.270803:0.695453:0.106161:0.695453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilidad.:@0.106161:0.724786:0.159350:0.724786:0.159350:0.710541:0.106161:0.710541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde: :@0.106161:0.747631:0.183155:0.747631:0.183155:0.732519:0.106161:0.732519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué :@0.183155:0.747631:0.219306:0.747631:0.219306:0.733386:0.183155:0.733386:0.000000:0.000000:0.000000:0.000000:0.000000
nombre recibe en un :@0.106161:0.763348:0.250784:0.763348:0.250784:0.749102:0.106161:0.749102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo rectángulo el :@0.106161:0.779064:0.262409:0.779064:0.262409:0.764819:0.106161:0.764819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lado que se opone al :@0.106161:0.794780:0.249494:0.794780:0.249494:0.780535:0.106161:0.780535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo recto?:@0.106161:0.810496:0.197795:0.810496:0.197795:0.796251:0.106161:0.796251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.126693:0.576016:0.271644:0.576016:0.271644:0.559115:0.126693:0.559115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta abierta.:@0.641986:0.167369:0.722008:0.167369:0.722008:0.157398:0.641986:0.157398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000