179:@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
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
Ejemplos:@0.096354:0.100402:0.162822:0.100402:0.162822:0.083764:0.096354:0.083764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096354:0.124121:0.111262:0.124121:0.111262:0.107220:0.096354:0.107220:0.000000:0.000000
Un edificio mide 95 metros de altura. Si un automóvil se encuentra a 300 metros :@0.120089:0.124121:0.716479:0.124121:0.716479:0.107732:0.120089:0.107732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la base del edificio, ¿cuál es la distancia del automóvil, medida desde lo alto :@0.120089:0.140717:0.716554:0.140717:0.716554:0.124328:0.120089:0.124328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del edificio?:@0.120089:0.157313:0.207380:0.157313:0.207380:0.140925:0.120089:0.140925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos:@0.199044:0.188960:0.241110:0.188960:0.241110:0.173596:0.199044:0.173596:0.000000:0.000000:0.000000:0.000000:0.000000
Operación:@0.381796:0.188960:0.457249:0.188960:0.457249:0.173596:0.381796:0.173596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta:@0.581686:0.188960:0.656251:0.188960:0.656251:0.173596:0.581686:0.173596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa: ?:@0.127009:0.225736:0.217372:0.225736:0.217372:0.210837:0.127009:0.210837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto  : 95 :@0.127009:0.244382:0.209984:0.244382:0.209984:0.229483:0.127009:0.229483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.174954:0.244382:0.183381:0.244382:0.183381:0.230388:0.174954:0.230388:0.000000
m:@0.209984:0.244382:0.223285:0.244382:0.223285:0.230388:0.209984:0.230388:0.000000
Cateto  : 300 :@0.127009:0.263027:0.218159:0.263027:0.218159:0.248128:0.127009:0.248128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.174954:0.263027:0.183381:0.263027:0.183381:0.249034:0.174954:0.249034:0.000000
m:@0.218159:0.263027:0.231460:0.263027:0.231460:0.249034:0.218159:0.249034:0.000000
=:@0.340897:0.227628:0.351014:0.227628:0.351014:0.212055:0.340897:0.212055:0.000000
+:@0.386542:0.227628:0.396659:0.227628:0.396659:0.212055:0.386542:0.212055:0.000000
=:@0.340897:0.253207:0.351014:0.253207:0.351014:0.237634:0.340897:0.237634:0.000000
+:@0.393821:0.253207:0.403938:0.253207:0.403938:0.237634:0.393821:0.237634:0.000000
c:@0.329432:0.226950:0.337098:0.226950:0.337098:0.211557:0.329432:0.211557:0.000000
a:@0.367172:0.226950:0.376441:0.226950:0.376441:0.211557:0.367172:0.211557:0.000000
b:@0.399420:0.226950:0.408689:0.226950:0.408689:0.211557:0.399420:0.211557:0.000000
c:@0.329432:0.252529:0.337098:0.252529:0.337098:0.237136:0.329432:0.237136:0.000000
95:@0.366803:0.252529:0.384586:0.252529:0.384586:0.236140:0.366803:0.236140:0.000000:0.000000
300:@0.406699:0.252529:0.433271:0.252529:0.433271:0.236140:0.406699:0.236140:0.000000:0.000000:0.000000
2:@0.377019:0.219289:0.382230:0.219289:0.382230:0.209791:0.377019:0.209791:0.000000
2:@0.409271:0.219289:0.414483:0.219289:0.414483:0.209791:0.409271:0.209791:0.000000
2:@0.384296:0.244867:0.389507:0.244867:0.389507:0.235369:0.384296:0.235369:0.000000
2:@0.433764:0.244867:0.438976:0.244867:0.438976:0.235369:0.433764:0.235369:0.000000
c:@0.326448:0.270894:0.333417:0.270894:0.333417:0.256901:0.326448:0.256901:0.000000
 = 314,68 :@0.333417:0.270894:0.398199:0.270894:0.398199:0.255995:0.333417:0.255995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.398199:0.270894:0.411500:0.270894:0.411500:0.256901:0.398199:0.256901:0.000000
La distancia desde lo alto :@0.525902:0.229303:0.696891:0.229303:0.696891:0.214404:0.525902:0.214404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del edificio al automóvil es :@0.525902:0.244390:0.706960:0.244390:0.706960:0.229491:0.525902:0.229491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.575153:0.244390:0.578821:0.244390:0.578821:0.229491:0.575153:0.229491:0.000000
de 314,68  .:@0.525902:0.259478:0.610485:0.259478:0.610485:0.244579:0.525902:0.244579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.594269:0.259478:0.607570:0.259478:0.607570:0.245484:0.594269:0.245484:0.000000
b) :@0.096359:0.313659:0.116390:0.313659:0.116390:0.296758:0.096359:0.296758:0.000000:0.000000:0.000000
Una escalera de 5   de longitud es apoyada sobre una pared. Si la distancia entre :@0.120094:0.313659:0.716447:0.313659:0.716447:0.297270:0.120094:0.297270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.252054:0.313659:0.266686:0.313659:0.266686:0.298266:0.252054:0.298266:0.000000
la base de la pared a la escalera es 1,4  , ¿cuál es la altura de la pared?:@0.120094:0.330255:0.631736:0.330255:0.631736:0.313866:0.120094:0.313866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.397723:0.330255:0.412355:0.330255:0.412355:0.314862:0.397723:0.314862:0.000000
Datos:@0.174114:0.362254:0.216179:0.362254:0.216179:0.346889:0.174114:0.346889:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfico:@0.318737:0.362254:0.370720:0.362254:0.370720:0.346889:0.318737:0.346889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operación:@0.456592:0.362254:0.532045:0.362254:0.532045:0.346889:0.456592:0.346889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta:@0.606627:0.362254:0.681192:0.362254:0.681192:0.346889:0.606627:0.346889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa: 5 :@0.127006:0.406460:0.222829:0.406460:0.222829:0.391561:0.127006:0.391561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.222829:0.406460:0.236131:0.406460:0.236131:0.392467:0.222829:0.392467:0.000000
Cateto  : ?:@0.127006:0.425106:0.196344:0.425106:0.196344:0.410207:0.127006:0.410207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.174951:0.425106:0.183378:0.425106:0.183378:0.411112:0.174951:0.411112:0.000000
Cateto : 1,4 :@0.127006:0.443752:0.212242:0.443752:0.212242:0.428853:0.127006:0.428853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 b:@0.171282:0.443752:0.182724:0.443752:0.182724:0.429758:0.171282:0.429758:0.000000:0.000000
m:@0.212242:0.443752:0.225543:0.443752:0.225543:0.429758:0.212242:0.429758:0.000000
5 :@0.305730:0.411650:0.315206:0.411650:0.315206:0.399731:0.305730:0.399731:0.000000:0.000000
m:@0.315206:0.411650:0.325847:0.411650:0.325847:0.400455:0.315206:0.400455:0.000000
1,4 :@0.313142:0.472795:0.331489:0.472795:0.331489:0.460876:0.313142:0.460876:0.000000:0.000000:0.000000:0.000000
m:@0.331489:0.472795:0.342130:0.472795:0.342130:0.461600:0.331489:0.461600:0.000000
?:@0.389760:0.425491:0.394867:0.425491:0.394867:0.413572:0.389760:0.413572:0.000000
=:@0.441772:0.416605:0.451888:0.416605:0.451888:0.401032:0.441772:0.401032:0.000000
−:@0.486274:0.416605:0.496391:0.416605:0.496391:0.401032:0.486274:0.401032:0.000000
=:@0.441772:0.442184:0.451888:0.442184:0.451888:0.426611:0.441772:0.426611:0.000000
−:@0.485906:0.442184:0.496023:0.442184:0.496023:0.426611:0.485906:0.426611:0.000000
a:@0.429149:0.415934:0.438418:0.415934:0.438418:0.400541:0.429149:0.400541:0.000000
c:@0.468049:0.415934:0.475715:0.415934:0.475715:0.400541:0.468049:0.400541:0.000000
b:@0.499137:0.415934:0.508406:0.415934:0.508406:0.400541:0.499137:0.400541:0.000000
a:@0.429149:0.441506:0.438418:0.441506:0.438418:0.426113:0.429149:0.426113:0.000000
5:@0.467681:0.441506:0.476674:0.441506:0.476674:0.425117:0.467681:0.425117:0.000000
1,4:@0.497626:0.441506:0.518338:0.441506:0.518338:0.425117:0.497626:0.425117:0.000000:0.000000:0.000000
2:@0.476742:0.408267:0.481954:0.408267:0.481954:0.398769:0.476742:0.398769:0.000000
2:@0.508995:0.408267:0.514206:0.408267:0.514206:0.398769:0.508995:0.398769:0.000000
2:@0.476379:0.433844:0.481591:0.433844:0.481591:0.424345:0.476379:0.424345:0.000000
2:@0.519205:0.433844:0.524416:0.433844:0.524416:0.424345:0.519205:0.424345:0.000000
a:@0.426172:0.462409:0.434598:0.462409:0.434598:0.448415:0.426172:0.448415:0.000000
 = 4,8 :@0.434598:0.462409:0.474854:0.462409:0.474854:0.447510:0.434598:0.447510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.474854:0.462409:0.488156:0.462409:0.488156:0.448415:0.474854:0.448415:0.000000
La altura de la pared :@0.575754:0.426890:0.714228:0.426890:0.714228:0.411991:0.575754:0.411991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es de 4,8 metros.:@0.575754:0.441978:0.687306:0.441978:0.687306:0.427079:0.575754:0.427079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.096359:0.520103:0.110180:0.520103:0.110180:0.503202:0.096359:0.503202:0.000000:0.000000
Encontrar el valor del dato desconocido.:@0.120094:0.520103:0.415211:0.520103:0.415211:0.503714:0.120094:0.503714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos:@0.173549:0.552029:0.215614:0.552029:0.215614:0.536665:0.173549:0.536665:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfico:@0.317720:0.552029:0.369703:0.552029:0.369703:0.536665:0.317720:0.536665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operación:@0.455576:0.552029:0.531028:0.552029:0.531028:0.536665:0.455576:0.536665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta:@0.606062:0.552029:0.680627:0.552029:0.680627:0.536665:0.606062:0.536665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa: 6 :@0.127011:0.593910:0.222835:0.593910:0.222835:0.579011:0.127011:0.579011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.222835:0.593910:0.243105:0.593910:0.243105:0.579916:0.222835:0.579916:0.000000:0.000000
Cateto  : ?:@0.127011:0.612556:0.196567:0.612556:0.196567:0.597657:0.127011:0.597657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.174956:0.612556:0.183600:0.612556:0.183600:0.598562:0.174956:0.598562:0.000000
Cateto  : 3 :@0.127011:0.631202:0.201810:0.631202:0.201810:0.616303:0.127011:0.616303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.174956:0.631202:0.183383:0.631202:0.183383:0.617208:0.174956:0.617208:0.000000
cm:@0.201810:0.631202:0.222081:0.631202:0.222081:0.617208:0.201810:0.617208:0.000000:0.000000
6 :@0.279347:0.592781:0.287136:0.592781:0.287136:0.583089:0.279347:0.583089:0.000000:0.000000
cm:@0.287136:0.592781:0.300361:0.592781:0.300361:0.583081:0.287136:0.583081:0.000000:0.000000
3 :@0.293077:0.636806:0.300866:0.636806:0.300866:0.627114:0.293077:0.627114:0.000000:0.000000
cm:@0.300866:0.636806:0.314092:0.636806:0.314092:0.627106:0.300866:0.627106:0.000000:0.000000
h:@0.319141:0.601683:0.324878:0.601683:0.324878:0.591983:0.319141:0.591983:0.000000
h:@0.445550:0.592991:0.453400:0.592991:0.457125:0.580283:0.449275:0.580283:0.000000
c:@0.477498:0.592991:0.483826:0.592991:0.487551:0.580283:0.481222:0.580283:0.000000
b:@0.503977:0.592991:0.511630:0.592991:0.515355:0.580283:0.507703:0.580283:0.000000
h:@0.445550:0.614118:0.453400:0.614118:0.457125:0.601410:0.449275:0.601410:0.000000
h:@0.445554:0.631233:0.453404:0.631233:0.457129:0.618525:0.449279:0.618525:0.000000
–:@0.495641:0.592984:0.503247:0.592984:0.503247:0.579454:0.495641:0.579454:0.000000
6–3:@0.479287:0.614118:0.512512:0.614118:0.512512:0.600588:0.479287:0.600588:0.000000:0.000000:0.000000
2:@0.487405:0.586660:0.491697:0.586660:0.491697:0.578838:0.487405:0.578838:0.000000
2:@0.514221:0.586660:0.518513:0.586660:0.518513:0.578838:0.514221:0.578838:0.000000
2:@0.487083:0.607774:0.491375:0.607774:0.491375:0.599952:0.487083:0.599952:0.000000
2:@0.512281:0.607774:0.516573:0.607774:0.516573:0.599952:0.512281:0.599952:0.000000
=:@0.457990:0.593475:0.466342:0.593475:0.466342:0.578597:0.457990:0.578597:0.000000
=:@0.457990:0.614609:0.466342:0.614609:0.466342:0.599732:0.457990:0.599732:0.000000
=:@0.457990:0.631733:0.466342:0.631733:0.466342:0.616856:0.457990:0.616856:0.000000
5,19 :@0.468624:0.630865:0.496874:0.630865:0.496874:0.617335:0.468624:0.617335:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.496874:0.630865:0.515282:0.630865:0.515282:0.618157:0.496874:0.618157:0.000000:0.000000
La altura de la figura :@0.574625:0.605012:0.712914:0.605012:0.712914:0.590113:0.574625:0.590113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.674635:0.605012:0.678304:0.605012:0.678304:0.590113:0.674635:0.590113:0.000000
es de 5,19 :@0.574625:0.620100:0.644683:0.620100:0.644683:0.605201:0.574625:0.605201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.644683:0.620100:0.664954:0.620100:0.664954:0.606106:0.644683:0.606106:0.000000:0.000000
.:@0.664954:0.620100:0.667869:0.620100:0.667869:0.605201:0.664954:0.605201:0.000000
d):@0.096359:0.686641:0.112612:0.686641:0.112612:0.669740:0.096359:0.669740:0.000000:0.000000
Encuentra el área de la región no sombreada.:@0.120094:0.686641:0.451440:0.686641:0.451440:0.670252:0.120094:0.670252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.710360:0.100395:0.710360:0.100395:0.693971:0.096359:0.693971:0.000000
  Observamos que la parte que no está coloreada está conformada por triángulos :@0.120103:0.710360:0.716582:0.710360:0.716582:0.693971:0.120103:0.693971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulos congruentes. Hallemos el cateto faltante.:@0.120094:0.726956:0.509813:0.726956:0.509813:0.710567:0.120094:0.710567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.120102:0.752053:0.129611:0.752053:0.134123:0.736660:0.124614:0.736660:0.000000
c:@0.159150:0.752053:0.166816:0.752053:0.171328:0.736660:0.163663:0.736660:0.000000
a:@0.190772:0.752053:0.200041:0.752053:0.204553:0.736660:0.195284:0.736660:0.000000
h:@0.225379:0.752053:0.234888:0.752053:0.239400:0.736660:0.229891:0.736660:0.000000
h:@0.342192:0.752053:0.351701:0.752053:0.356213:0.736660:0.346704:0.736660:0.000000
;:@0.212545:0.752051:0.215752:0.752051:0.215752:0.735662:0.212545:0.735662:0.000000
...:@0.216949:0.752051:0.226237:0.752051:0.226237:0.735662:0.216949:0.735662:0.000000:0.000000:0.000000
15:@0.265119:0.752051:0.282902:0.752051:0.282902:0.735662:0.265119:0.735662:0.000000:0.000000
12 ;:@0.302490:0.752051:0.332546:0.752051:0.332546:0.735662:0.302490:0.735662:0.000000:0.000000:0.000000:0.000000
...:@0.333744:0.752051:0.343031:0.752051:0.343031:0.735662:0.333744:0.735662:0.000000:0.000000:0.000000
9 :@0.370544:0.752051:0.383572:0.752051:0.383572:0.735662:0.370544:0.735662:0.000000:0.000000
cm:@0.383572:0.752051:0.405870:0.752051:0.405870:0.736658:0.383572:0.736658:0.000000:0.000000
2:@0.171189:0.744400:0.176400:0.744400:0.176400:0.734902:0.171189:0.734902:0.000000
2:@0.203591:0.744400:0.208802:0.744400:0.208802:0.734902:0.203591:0.734902:0.000000
2:@0.282577:0.744400:0.287789:0.744400:0.287789:0.734902:0.282577:0.734902:0.000000
2:@0.320373:0.744400:0.325584:0.744400:0.325584:0.734902:0.320373:0.734902:0.000000
=:@0.135380:0.752646:0.145497:0.752646:0.145497:0.734625:0.135380:0.734625:0.000000
−:@0.180307:0.752646:0.190424:0.752646:0.190424:0.734625:0.180307:0.734625:0.000000
=:@0.240657:0.752646:0.250774:0.752646:0.250774:0.734625:0.240657:0.734625:0.000000
−:@0.291702:0.752646:0.301819:0.752646:0.301819:0.734625:0.291702:0.734625:0.000000
=:@0.357452:0.752646:0.367569:0.752646:0.367569:0.734625:0.357452:0.734625:0.000000
 :@0.096359:0.779828:0.100395:0.779828:0.100395:0.763439:0.096359:0.763439:0.000000
El área del triángulo es::@0.120103:0.779828:0.288348:0.779828:0.288348:0.763439:0.120103:0.763439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.120094:0.809356:0.129990:0.809356:0.129990:0.793963:0.120094:0.793963:0.000000
 =:@0.129990:0.809356:0.145008:0.809356:0.145008:0.792967:0.129990:0.792967:0.000000:0.000000
(  ×  ):@0.147938:0.800095:0.195536:0.800095:0.195536:0.783706:0.147938:0.783706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.152821:0.800095:0.162090:0.800095:0.162090:0.784702:0.152821:0.784702:0.000000
h:@0.181145:0.800095:0.190653:0.800095:0.190653:0.784702:0.181145:0.784702:0.000000
2:@0.167232:0.820259:0.176224:0.820259:0.176224:0.803870:0.167232:0.803870:0.000000
;   =:@0.195702:0.810454:0.227859:0.810246:0.227859:0.793857:0.195702:0.794065:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.202944:0.810246:0.212840:0.810246:0.212840:0.794853:0.202944:0.794853:0.000000
(12 × 9):@0.230613:0.800986:0.285711:0.800986:0.285711:0.784597:0.230613:0.784597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.253666:0.821151:0.262658:0.821151:0.262658:0.804762:0.253666:0.804762:0.000000
;   =:@0.285711:0.810460:0.317846:0.810313:0.317846:0.793924:0.285711:0.794071:0.000000:0.000000:0.000000:0.000000:0.000000
108:@0.320591:0.801047:0.347570:0.801047:0.347570:0.784658:0.320591:0.784658:0.000000:0.000000:0.000000
2:@0.330100:0.821211:0.339093:0.821211:0.339093:0.804822:0.330100:0.804822:0.000000
A:@0.292932:0.810313:0.302827:0.810313:0.302827:0.794920:0.292932:0.794920:0.000000
 = 54 :@0.348601:0.810451:0.389677:0.810451:0.389677:0.794062:0.348601:0.794062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.389677:0.810451:0.411974:0.810451:0.411974:0.795058:0.389677:0.795058:0.000000:0.000000
2:@0.411974:0.810451:0.417244:0.810451:0.417244:0.794062:0.411974:0.794062:0.000000
 :@0.096346:0.841307:0.100381:0.841307:0.100381:0.824918:0.096346:0.824918:0.000000
Multiplicando por 2, tenemos: A = 54 × 2 = 108 :@0.120090:0.841307:0.461480:0.841307:0.461480:0.824918:0.120090:0.824918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.461296:0.841307:0.483409:0.841307:0.483409:0.825913:0.461296:0.825913:0.000000:0.000000
2:@0.483225:0.841307:0.488495:0.841307:0.488495:0.824918:0.483225:0.824918:0.000000
Solución:@0.096346:0.868594:0.160124:0.868594:0.160124:0.851956:0.096346:0.851956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096346:0.892313:0.100381:0.892313:0.100381:0.875924:0.096346:0.875924:0.000000
El área de la región no sombreada es de 108 :@0.120090:0.892313:0.446904:0.892313:0.446904:0.875924:0.120090:0.875924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.446904:0.892313:0.469201:0.892313:0.469201:0.876920:0.446904:0.876920:0.000000:0.000000
2:@0.469201:0.892313:0.474471:0.892313:0.474471:0.875924:0.469201:0.875924:0.000000
300 m:@0.806766:0.184665:0.840298:0.184665:0.840298:0.172746:0.806766:0.172746:0.000000:0.000000:0.000000:0.000000:0.000000
95 m:@0.913445:0.128851:0.940437:0.128851:0.940437:0.116932:0.913445:0.116932:0.000000:0.000000:0.000000:0.000000
18 :@0.677387:0.844994:0.698604:0.844994:0.698604:0.829533:0.677387:0.829533:0.000000:0.000000:0.000000
cm:@0.698604:0.844994:0.719702:0.844994:0.719702:0.829520:0.698604:0.829520:0.000000:0.000000
12 :@0.582733:0.759239:0.603950:0.759239:0.603950:0.743778:0.582733:0.743778:0.000000:0.000000:0.000000
cm:@0.603950:0.759239:0.625047:0.759239:0.625047:0.743765:0.603950:0.743765:0.000000:0.000000
15 :@0.581225:0.839090:0.602442:0.839090:0.602442:0.823629:0.581225:0.823629:0.000000:0.000000:0.000000
cm:@0.602442:0.839090:0.623539:0.839090:0.623539:0.823616:0.602442:0.823616:0.000000:0.000000
h:@0.520693:0.876777:0.529844:0.876777:0.529844:0.861303:0.520693:0.861303:0.000000
Ingresa al siguiente :@0.755425:0.746906:0.887633:0.746906:0.887633:0.732007:0.755425:0.732007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recurso web: :@0.755425:0.761994:0.844380:0.761994:0.844380:0.747095:0.755425:0.747095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/10mt23:@0.755425:0.780639:0.858821:0.780639:0.858821:0.765514:0.755425:0.765514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprime los ejercicios :@0.755425:0.799285:0.893111:0.799285:0.893111:0.785291:0.755425:0.785291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y practica el teorema :@0.755425:0.814373:0.890431:0.814373:0.890431:0.800379:0.755425:0.800379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Pitágoras.:@0.755425:0.829460:0.836790:0.829460:0.836790:0.815467:0.755425:0.815467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.809572:0.714465:0.860043:0.714465:0.860043:0.697564:0.809572:0.697564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.750912:0.239756:0.908118:0.239756:0.908118:0.222855:0.750912:0.222855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Historia:@0.755718:0.269106:0.913491:0.269106:0.913491:0.253742:0.755718:0.253742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El teorema de Pitágoras :@0.755718:0.287752:0.916422:0.287752:0.916422:0.272853:0.755718:0.272853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene ese nombre porque :@0.755718:0.302840:0.929554:0.302840:0.929554:0.287941:0.755718:0.287941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su demostración fue un :@0.755718:0.317927:0.917530:0.317927:0.917530:0.303028:0.755718:0.303028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esfuerzo de la escuela :@0.755718:0.333015:0.905232:0.333015:0.905232:0.318116:0.755718:0.318116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pitagórica. Sin embargo, :@0.755718:0.348103:0.921213:0.348103:0.921213:0.333204:0.755718:0.333204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
anteriormente, en :@0.755718:0.363190:0.879249:0.363190:0.879249:0.348291:0.755718:0.348291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mesopotamia y en el :@0.755718:0.378278:0.898767:0.378278:0.898767:0.363379:0.755718:0.363379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
antiguo Egipto, se :@0.755718:0.393365:0.879349:0.393365:0.879349:0.378466:0.755718:0.378466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conoció que la pirámide :@0.755718:0.408453:0.921567:0.408453:0.921567:0.393554:0.755718:0.393554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Kefrén se construyó :@0.755718:0.423541:0.911696:0.423541:0.911696:0.408642:0.755718:0.408642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
basándose en el llamado :@0.755718:0.438628:0.925319:0.438628:0.925319:0.423729:0.755718:0.423729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo sagrado egipcio, :@0.755718:0.453716:0.933274:0.453716:0.933274:0.438817:0.755718:0.438817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de proporciones 3-4-5, :@0.755718:0.468804:0.910460:0.468804:0.910460:0.453905:0.755718:0.453905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizando el teorema de :@0.755718:0.483891:0.921616:0.483891:0.921616:0.468992:0.755718:0.468992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pitágoras.:@0.755718:0.498979:0.819612:0.498979:0.819612:0.484080:0.755718:0.484080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pirámide de Kefrén:@0.755718:0.651830:0.869157:0.651830:0.869157:0.638421:0.755718:0.638421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.933666:0.546389:0.933666:0.541282:0.921584:0.541282:0.921584:0.546389:0.000000
Shutterstock:@0.933666:0.541282:0.933666:0.503564:0.921755:0.503564:0.921755:0.541282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.755795:0.145436:0.755795:0.140329:0.743713:0.140329:0.743713:0.145436:0.000000
Shutterstock:@0.755795:0.140329:0.755795:0.102610:0.743884:0.102610:0.743884:0.140329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000