185:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.108221:0.334743:0.171705:0.334743:0.171705:0.318105:0.108221:0.318105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un campesino dispone de un terreno que tiene la forma de un triángulo :@0.108221:0.354907:0.710656:0.354907:0.710656:0.338518:0.108221:0.338518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulo, como se describe en la figura. Si planea rodear el contorno del terreno :@0.108221:0.371504:0.710672:0.371504:0.710672:0.355115:0.108221:0.355115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con una tubería para regarlo, ¿cuántos metros de tubería son necesarios y qué :@0.108221:0.388100:0.710654:0.388100:0.710654:0.371711:0.108221:0.371711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cantidad de césped necesita para cubrir el terreno?:@0.108221:0.404696:0.482940:0.404696:0.482940:0.388307:0.108221:0.388307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.108221:0.431983:0.171999:0.431983:0.171999:0.415346:0.108221:0.415346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado un triángulo con sus lados conocidos a, b y c, su perímetro se define :@0.117728:0.155974:0.700172:0.155974:0.700172:0.139586:0.117728:0.139586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como :@0.117728:0.172571:0.164682:0.172571:0.164682:0.156182:0.117728:0.156182:0.000000:0.000000:0.000000:0.000000:0.000000
P = a + b + c:@0.164682:0.172571:0.252508:0.172571:0.252508:0.156210:0.164682:0.156210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.252508:0.172571:0.255714:0.172571:0.255714:0.156182:0.252508:0.156182:0.000000
Perímetro de un triángulo:@0.108231:0.118434:0.369804:0.118434:0.369804:0.096924:0.108231:0.096924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se conocen la base b y la altura h de un triángulo, su área A, se puede :@0.117728:0.260341:0.700336:0.260341:0.700336:0.243952:0.117728:0.243952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar mediante la expresión :@0.117728:0.284723:0.370073:0.284723:0.370073:0.268334:0.117728:0.268334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.373683:0.285307:0.383579:0.285307:0.383579:0.268945:0.373683:0.268945:0.000000
bh:@0.401221:0.276545:0.428328:0.276545:0.428328:0.260183:0.401221:0.260183:0.000000:0.000000
A:@0.373690:0.322198:0.383585:0.322198:0.383585:0.305837:0.373690:0.305837:0.000000
A:@0.373690:0.352183:0.383585:0.352183:0.383585:0.335821:0.373690:0.335821:0.000000
m:@0.431645:0.352183:0.446276:0.352183:0.446276:0.335821:0.431645:0.335821:0.000000
=:@0.386720:0.284892:0.396837:0.284892:0.396837:0.267950:0.386720:0.267950:0.000000
⋅:@0.412477:0.276130:0.417084:0.276130:0.417084:0.259188:0.412477:0.259188:0.000000
=:@0.386715:0.321784:0.396832:0.321784:0.396832:0.304841:0.386715:0.304841:0.000000
⋅:@0.421064:0.313015:0.425671:0.313015:0.425671:0.296073:0.421064:0.296073:0.000000
=:@0.386715:0.351754:0.396832:0.351754:0.396832:0.334812:0.386715:0.334812:0.000000
2:@0.410265:0.296142:0.419258:0.296142:0.419258:0.279753:0.410265:0.279753:0.000000
30 40:@0.401217:0.313430:0.445591:0.313430:0.445591:0.297041:0.401217:0.297041:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.419166:0.333041:0.428159:0.333041:0.428159:0.316653:0.419166:0.316653:0.000000
600 :@0.400001:0.352183:0.431641:0.352179:0.431641:0.335790:0.400001:0.335794:0.000000:0.000000:0.000000:0.000000
2:@0.446139:0.344516:0.451351:0.344516:0.451351:0.335018:0.446139:0.335018:0.000000
 .:@0.432558:0.284717:0.439800:0.284717:0.439800:0.268328:0.432558:0.268328:0.000000:0.000000
Determinamos el área en el terreno :@0.377717:0.458592:0.641282:0.458592:0.641282:0.442203:0.377717:0.442203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b =:@0.641282:0.458592:0.664851:0.458592:0.664851:0.442230:0.641282:0.442230:0.000000:0.000000:0.000000
 30 m :@0.664851:0.458592:0.710036:0.458592:0.710036:0.442203:0.664851:0.442203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.377717:0.475188:0.389861:0.475188:0.389861:0.458799:0.377717:0.458799:0.000000:0.000000
h =:@0.389861:0.475188:0.413669:0.475188:0.413669:0.458827:0.389861:0.458827:0.000000:0.000000:0.000000
 40 m. Entonces el área es::@0.413669:0.475188:0.604688:0.475188:0.604688:0.458799:0.413669:0.458799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.381332:0.507278:0.391228:0.507278:0.391228:0.490917:0.381332:0.490917:0.000000
bh:@0.408870:0.498516:0.435977:0.498516:0.435977:0.482155:0.408870:0.482155:0.000000:0.000000
A:@0.381332:0.544172:0.391228:0.544172:0.391228:0.527811:0.381332:0.527811:0.000000
A:@0.381332:0.574150:0.391228:0.574150:0.391228:0.557789:0.381332:0.557789:0.000000
m:@0.439287:0.574150:0.453919:0.574150:0.453919:0.557789:0.439287:0.557789:0.000000
=:@0.394367:0.506863:0.404484:0.506863:0.404484:0.489921:0.394367:0.489921:0.000000
⋅:@0.420124:0.498101:0.424731:0.498101:0.424731:0.481159:0.420124:0.481159:0.000000
=:@0.394367:0.543758:0.404484:0.543758:0.404484:0.526815:0.394367:0.526815:0.000000
⋅:@0.428716:0.534989:0.433323:0.534989:0.433323:0.518047:0.428716:0.518047:0.000000
=:@0.394367:0.573735:0.404484:0.573735:0.404484:0.556793:0.394367:0.556793:0.000000
2:@0.417926:0.518122:0.426919:0.518122:0.426919:0.501734:0.417926:0.501734:0.000000
30 40:@0.408878:0.535410:0.453252:0.535410:0.453252:0.519021:0.408878:0.519021:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.426827:0.555022:0.435819:0.555022:0.435819:0.538633:0.426827:0.538633:0.000000
600 :@0.407665:0.574150:0.439291:0.574150:0.439291:0.557761:0.407665:0.557761:0.000000:0.000000:0.000000:0.000000
2:@0.453786:0.566489:0.458998:0.566489:0.458998:0.556991:0.453786:0.556991:0.000000
Área de un triángulo en función de sus tres lados:@0.108231:0.621850:0.599710:0.621850:0.599710:0.600340:0.108231:0.600340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área de un triángulo, cuando se conocen sus lados, está dada por la expresión :@0.108231:0.648371:0.710665:0.648371:0.710665:0.631982:0.108231:0.631982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.111843:0.673627:0.121739:0.673627:0.121739:0.657265:0.111843:0.657265:0.000000
s sa sb sc:@0.151002:0.673627:0.292173:0.673627:0.292173:0.657265:0.151002:0.657265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.124878:0.673212:0.134995:0.673212:0.134995:0.656270:0.124878:0.656270:0.000000
−:@0.176494:0.673212:0.186611:0.673212:0.186611:0.656270:0.176494:0.656270:0.000000
(:@0.159326:0.674962:0.165463:0.674962:0.165463:0.653310:0.159326:0.653310:0.000000
)(:@0.199646:0.674962:0.213259:0.674962:0.213259:0.653310:0.199646:0.653310:0.000000:0.000000
−:@0.224294:0.673212:0.234410:0.673212:0.234410:0.656270:0.224294:0.656270:0.000000
)(:@0.247166:0.674962:0.260794:0.674962:0.260794:0.653310:0.247166:0.653310:0.000000:0.000000
−:@0.271829:0.673212:0.281945:0.673212:0.281945:0.656270:0.271829:0.656270:0.000000
):@0.294074:0.674962:0.300210:0.674962:0.300210:0.653310:0.294074:0.653310:0.000000
 llamada fórmula de Herón, en donde a, b y c son los :@0.304234:0.673517:0.710691:0.673517:0.710691:0.657128:0.304234:0.657128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados del triángulo y s es su semiperímetro (mitad del perímetro).:@0.108238:0.698661:0.584952:0.698661:0.584952:0.682272:0.108238:0.682272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.108238:0.729516:0.171721:0.729516:0.171721:0.712878:0.108238:0.712878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcula la altura y el área de un triángulo isósceles, cuyos :@0.108238:0.749681:0.558610:0.749681:0.558610:0.733292:0.108238:0.733292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados iguales miden  60 cm y su lado desigual mide 48 cm. :@0.108238:0.766277:0.541536:0.766277:0.541536:0.749888:0.108238:0.749888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.108238:0.804255:0.172016:0.804255:0.172016:0.787617:0.108238:0.787617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.108231:0.834701:0.114607:0.834701:0.114607:0.818339:0.108231:0.818339:0.000000
A:@0.108754:0.871585:0.118650:0.871585:0.118650:0.855224:0.108754:0.855224:0.000000
s:@0.308528:0.871585:0.314904:0.871585:0.314904:0.855224:0.308528:0.855224:0.000000
=:@0.118392:0.834285:0.128509:0.834285:0.128509:0.817342:0.118392:0.817342:0.000000
+:@0.153882:0.825525:0.163998:0.825525:0.163998:0.808583:0.153882:0.808583:0.000000
+:@0.187604:0.825525:0.197721:0.825525:0.197721:0.808583:0.187604:0.808583:0.000000
=:@0.223717:0.834286:0.233834:0.834286:0.233834:0.817344:0.223717:0.817344:0.000000
=:@0.121794:0.871171:0.131911:0.871171:0.131911:0.854229:0.121794:0.854229:0.000000
−:@0.194675:0.871171:0.204792:0.871171:0.204792:0.854229:0.194675:0.854229:0.000000
(:@0.166865:0.872930:0.173001:0.872930:0.173001:0.851278:0.166865:0.851278:0.000000
)(:@0.226386:0.872930:0.240011:0.872930:0.240011:0.851278:0.226386:0.851278:0.000000:0.000000
−:@0.261672:0.871170:0.271788:0.871170:0.271788:0.854228:0.261672:0.854228:0.000000
)(:@0.293396:0.872930:0.307020:0.872930:0.307020:0.851278:0.293396:0.851278:0.000000:0.000000
−:@0.318055:0.871170:0.328172:0.871170:0.328172:0.854228:0.318055:0.854228:0.000000
):@0.350104:0.872930:0.356241:0.872930:0.356241:0.851278:0.350104:0.851278:0.000000
=:@0.360879:0.871170:0.370996:0.871170:0.370996:0.854228:0.360879:0.854228:0.000000
60 60 48:@0.133151:0.825940:0.218802:0.825940:0.218802:0.809551:0.133151:0.809551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.171627:0.845545:0.180620:0.845545:0.180620:0.829156:0.171627:0.829156:0.000000
84 cm:@0.236751:0.834702:0.282974:0.834701:0.282974:0.818312:0.236751:0.818313:0.000000:0.000000:0.000000:0.000000:0.000000
84 84 60 84 60:@0.147340:0.871587:0.292218:0.871587:0.292218:0.855199:0.147340:0.855199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
48:@0.331027:0.871587:0.348920:0.871587:0.348920:0.855199:0.331027:0.855199:0.000000:0.000000
1319 8 cm   ;:@0.372747:0.871587:0.459549:0.871626:0.459549:0.855238:0.372747:0.855199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1319,8:@0.461844:0.871587:0.511639:0.871585:0.511639:0.855196:0.461844:0.855199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.450505:0.863934:0.455716:0.863934:0.455716:0.854436:0.450505:0.854436:0.000000
,:@0.408676:0.871585:0.411882:0.871585:0.411882:0.855196:0.408676:0.855196:0.000000
8:@0.502646:0.871585:0.511639:0.871585:0.511639:0.855196:0.502646:0.855196:0.000000
48:@0.530177:0.862830:0.548071:0.862830:0.548071:0.846441:0.530177:0.846441:0.000000:0.000000
2:@0.543261:0.882442:0.552254:0.882442:0.552254:0.866053:0.543261:0.866053:0.000000
=:@0.515104:0.871170:0.525220:0.871170:0.525220:0.854228:0.515104:0.854228:0.000000
⋅:@0.550024:0.862415:0.554631:0.862415:0.554631:0.845473:0.550024:0.845473:0.000000
h:@0.556363:0.862830:0.565872:0.862830:0.565872:0.846469:0.556363:0.846469:0.000000
                                                               :@0.108498:0.910808:0.358474:0.910808:0.358474:0.894419:0.108498:0.894419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 m:@0.493954:0.910808:0.513082:0.910808:0.513082:0.894419:0.493954:0.894419:0.000000:0.000000
h:@0.358418:0.910808:0.367927:0.910808:0.367927:0.894446:0.358418:0.894446:0.000000
=:@0.370875:0.910393:0.380992:0.910393:0.380992:0.893451:0.370875:0.893451:0.000000
(:@0.395431:0.902201:0.401568:0.902201:0.401568:0.880549:0.395431:0.880549:0.000000
):@0.452280:0.902201:0.458417:0.902201:0.458417:0.880549:0.452280:0.880549:0.000000
=:@0.463069:0.910393:0.473186:0.910393:0.473186:0.893451:0.463069:0.893451:0.000000
2 1319 8 ,:@0.385378:0.900864:0.440440:0.900878:0.440440:0.884489:0.385378:0.884475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
48:@0.413056:0.921664:0.430950:0.921664:0.430950:0.905276:0.413056:0.905276:0.000000:0.000000
55:@0.476079:0.910822:0.493972:0.910822:0.493972:0.894433:0.476079:0.894433:0.000000:0.000000
h = :@0.532054:0.543392:0.554247:0.543392:0.554247:0.530005:0.532054:0.530005:0.000000:0.000000:0.000000:0.000000
40 m:@0.554247:0.543392:0.584613:0.543392:0.584613:0.529983:0.554247:0.529983:0.000000:0.000000:0.000000:0.000000
b = :@0.618717:0.584693:0.640715:0.584693:0.640715:0.571306:0.618717:0.571306:0.000000:0.000000:0.000000:0.000000
30 m:@0.640715:0.584693:0.671080:0.584693:0.671080:0.571284:0.640715:0.571284:0.000000:0.000000:0.000000:0.000000
60 m:@0.568857:0.781824:0.599222:0.781824:0.599222:0.768415:0.568857:0.768415:0.000000:0.000000:0.000000:0.000000
48 m:@0.621567:0.843483:0.651932:0.843483:0.651932:0.830074:0.621567:0.830074:0.000000:0.000000:0.000000:0.000000
60 m:@0.677126:0.781824:0.707491:0.781824:0.707491:0.768415:0.677126:0.768415:0.000000:0.000000:0.000000:0.000000
h:@0.627028:0.791269:0.635109:0.791269:0.635109:0.777859:0.627028:0.777859:0.000000
Interdisciplinariedad:@0.751028:0.171847:0.906579:0.171847:0.906579:0.154946:0.751028:0.154946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Geometría y :@0.755005:0.201352:0.851767:0.201352:0.851767:0.185219:0.755005:0.185219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estructuras:@0.755005:0.216441:0.840578:0.216441:0.840578:0.200309:0.755005:0.200309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los triángulos son :@0.755005:0.415986:0.879575:0.415986:0.879575:0.401087:0.755005:0.401087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamentales en :@0.755005:0.431073:0.879961:0.431073:0.879961:0.416174:0.755005:0.416174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geometría, ya que :@0.755005:0.446161:0.879339:0.446161:0.879339:0.431262:0.755005:0.431262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquier polígono puede :@0.755005:0.461248:0.932714:0.461248:0.932714:0.446349:0.755005:0.446349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser descompuesto en :@0.755005:0.476336:0.902525:0.476336:0.902525:0.461437:0.755005:0.461437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos. Además, en :@0.755005:0.491424:0.910063:0.491424:0.910063:0.476525:0.755005:0.476525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arquitectura e ingeniería, :@0.755005:0.506511:0.924854:0.506511:0.924854:0.491612:0.755005:0.491612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los triángulos son esenciales :@0.755005:0.521599:0.933481:0.521599:0.933481:0.506700:0.755005:0.506700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la construcción de :@0.755005:0.536686:0.902141:0.536686:0.902141:0.521787:0.755005:0.521787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estructuras debido a su :@0.755005:0.551774:0.914352:0.551774:0.914352:0.536875:0.755005:0.536875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estabilidad y propiedades :@0.755005:0.566862:0.930166:0.566862:0.930166:0.551963:0.755005:0.551963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométricas.:@0.755005:0.581949:0.840792:0.581949:0.840792:0.567050:0.755005:0.567050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.945029:0.263943:0.945029:0.221117:0.933118:0.221117:0.933118:0.263943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área de un triángulo dados su base y altura:@0.108231:0.223572:0.544571:0.223572:0.544571:0.202062:0.108231:0.202062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos el perímetro del :@0.108231:0.458588:0.343382:0.458588:0.343382:0.442199:0.108231:0.442199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terreno.:@0.108231:0.475184:0.165043:0.475184:0.165043:0.458795:0.108231:0.458795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = L:@0.108231:0.498903:0.142248:0.498903:0.142248:0.482542:0.108231:0.482542:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.142247:0.502073:0.147490:0.502073:0.147490:0.492518:0.142247:0.492518:0.000000
 +   + :@0.147491:0.498910:0.198470:0.498910:0.198470:0.482521:0.147491:0.482521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.166545:0.498910:0.174174:0.498910:0.174174:0.482548:0.166545:0.482548:0.000000
2:@0.174172:0.502073:0.179415:0.502073:0.179415:0.492518:0.174172:0.492518:0.000000
L:@0.198470:0.498910:0.206099:0.498910:0.206099:0.482548:0.198470:0.482548:0.000000
3:@0.206099:0.502073:0.211342:0.502073:0.211342:0.492518:0.206099:0.492518:0.000000
P =:@0.108231:0.515506:0.131302:0.515506:0.131302:0.499145:0.108231:0.499145:0.000000:0.000000:0.000000
 40 m + 30 m + 50 m:@0.131302:0.515506:0.284786:0.515506:0.284786:0.499117:0.131302:0.499117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = :@0.108231:0.532102:0.134619:0.532102:0.134619:0.515741:0.108231:0.515741:0.000000:0.000000:0.000000:0.000000
120 m:@0.134619:0.532102:0.180725:0.532102:0.180725:0.515713:0.134619:0.515713:0.000000:0.000000:0.000000:0.000000:0.000000
El campesino necesita 120 m :@0.108231:0.555821:0.324866:0.555821:0.324866:0.539432:0.108231:0.539432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de tubería.:@0.108231:0.572418:0.186805:0.572418:0.186805:0.556029:0.108231:0.556029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
50 m:@0.637713:0.519898:0.668078:0.519898:0.668078:0.506489:0.637713:0.506489:0.000000:0.000000:0.000000:0.000000
Tómate el tiempo para :@0.755006:0.701769:0.909564:0.701769:0.909564:0.686870:0.755006:0.686870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identificar cómo te sientes :@0.755006:0.716856:0.934378:0.716856:0.934378:0.701957:0.755006:0.701957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en diferentes situaciones. :@0.755006:0.731944:0.926698:0.731944:0.926698:0.717045:0.755006:0.717045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La autoexploración es :@0.755006:0.747032:0.904421:0.747032:0.904421:0.732133:0.755006:0.732133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
clave para entender tus :@0.755006:0.762119:0.914973:0.762119:0.914973:0.747220:0.755006:0.747220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emociones, sin juzgarte.:@0.755006:0.777207:0.915072:0.777207:0.915072:0.762308:0.755006:0.762308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.760255:0.669328:0.899027:0.669328:0.899027:0.652427:0.760255:0.652427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000