96:@0.048054:0.510692:0.066961:0.510692:0.066961:0.494068:0.048054:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Trazamos :@0.122379:0.434138:0.198982:0.434138:0.198982:0.417514:0.122379:0.417514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las medianas y :@0.198982:0.434138:0.309733:0.434138:0.309733:0.417750:0.198982:0.417750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinamos  :@0.309733:0.434138:0.430065:0.434138:0.430065:0.417514:0.309733:0.417514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el baricentro.:@0.122379:0.450735:0.217851:0.450735:0.217851:0.434346:0.122379:0.434346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazamos :@0.504199:0.434138:0.580803:0.434138:0.580803:0.417514:0.504199:0.417514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las  :@0.580803:0.434138:0.608021:0.434138:0.608021:0.417750:0.580803:0.417750:0.000000:0.000000:0.000000:0.000000:0.000000
mediatrices y  :@0.504199:0.450735:0.609825:0.450735:0.609825:0.434346:0.504199:0.434346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontramos :@0.504199:0.467331:0.609679:0.467331:0.609679:0.450707:0.504199:0.450707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.609679:0.467331:0.613715:0.467331:0.613715:0.450942:0.609679:0.450942:0.000000
el circuncentro.:@0.504199:0.483928:0.616903:0.483928:0.616903:0.467539:0.504199:0.467539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazamos:@0.122379:0.542070:0.195076:0.542070:0.195076:0.525446:0.122379:0.525446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las  :@0.195076:0.542070:0.226329:0.542070:0.226329:0.525681:0.195076:0.525681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bisectrices  :@0.122379:0.558667:0.207844:0.558667:0.207844:0.542278:0.122379:0.542278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.122379:0.575263:0.134523:0.575263:0.134523:0.558874:0.122379:0.558874:0.000000:0.000000
marcamos:@0.134523:0.575263:0.214535:0.575263:0.214535:0.558639:0.134523:0.558639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.214535:0.575263:0.222607:0.575263:0.222607:0.558874:0.214535:0.558874:0.000000:0.000000
el incentro.:@0.122379:0.591859:0.203626:0.591859:0.203626:0.575470:0.122379:0.575470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazamos :@0.504199:0.542070:0.580803:0.542070:0.580803:0.525446:0.504199:0.525446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las alturas y :@0.580803:0.542070:0.668592:0.542070:0.668592:0.525681:0.580803:0.525681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinamos:@0.668592:0.542070:0.781110:0.542070:0.781110:0.525446:0.668592:0.525446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.781110:0.542070:0.789181:0.542070:0.789181:0.525681:0.781110:0.525681:0.000000:0.000000
el ortocentro.:@0.504199:0.558667:0.602822:0.558667:0.602822:0.542278:0.504199:0.542278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.700783:0.236739:0.700783:0.236739:0.666836:0.175844:0.666836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.5.2. Construye triángulos dadas algunas medidas de ángulos o lados; dibuja sus rectas y puntos notables como estrategia para :@0.256865:0.683529:0.877550:0.683529:0.877550:0.673100:0.256865:0.673100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plantear y resolver problemas de perímetro y área de triángulos; comunica los procesos y estrategias utilizados. (I.3.):@0.256865:0.694090:0.794363:0.694090:0.794363:0.683661:0.256865:0.683661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.742021:0.132107:0.742021:0.132107:0.724886:0.115209:0.724886:0.000000:0.000000:0.000000
Responde:@0.148452:0.742021:0.225424:0.742021:0.225424:0.725397:0.148452:0.725397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 V (verdadero) o F (falso), según corresponda.:@0.225424:0.742021:0.553584:0.742021:0.553584:0.725632:0.225424:0.725632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.385219:0.272331:0.385219:0.272331:0.366782:0.115209:0.366782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazamos :@0.115209:0.405066:0.191813:0.405066:0.191813:0.388442:0.115209:0.388442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los puntos solicitados en los siguientes triángulos.:@0.191813:0.405066:0.556709:0.405066:0.556709:0.388677:0.191813:0.388677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las líneas notables de un triángulo y sus intersecciones se resumen en el siguiente cuadro.:@0.115209:0.167752:0.777284:0.167752:0.777284:0.151363:0.115209:0.151363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nota: :@0.115209:0.353866:0.162052:0.353866:0.162052:0.336965:0.115209:0.336965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La “recta de Euler” es una recta que pasa por el ortocentro, el circuncentro y el baricentro.:@0.162052:0.353866:0.811398:0.353866:0.811398:0.337477:0.162052:0.337477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Líneas notables de un triángulo:@0.115891:0.141978:0.582679:0.141978:0.582679:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.12. Definir y dibujar medianas y baricentro, mediatrices y circuncentro, alturas y ortocentro, bisectrices e incentro en un triángulo.:@0.125388:0.074999:0.753015:0.074999:0.753015:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.054068:0.122645:0.076443:0.122645:0.076443:0.065614:0.054068:0.065614:0.000000
Línea:@0.140962:0.191801:0.180247:0.191801:0.180247:0.176437:0.140962:0.176437:0.000000:0.000000:0.000000:0.000000:0.000000
Descripción:@0.497420:0.191801:0.582907:0.191801:0.582907:0.176437:0.497420:0.176437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mediana:@0.129001:0.219827:0.192208:0.219827:0.192208:0.204462:0.129001:0.204462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es la recta que une un :@0.212277:0.212283:0.359112:0.212283:0.359112:0.197384:0.212277:0.197384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice:@0.358944:0.212283:0.407411:0.212283:0.407411:0.196918:0.358944:0.196918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con el :@0.407243:0.212283:0.454116:0.212283:0.454116:0.197384:0.407243:0.197384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto medio:@0.453949:0.212283:0.546121:0.212283:0.546121:0.196918:0.453949:0.196918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 del lado opuesto.  El punto de intersección de las :@0.545953:0.212283:0.871569:0.212283:0.871569:0.197384:0.545953:0.197384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medianas se denomina :@0.212277:0.227370:0.368141:0.227370:0.368141:0.212471:0.212277:0.212471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
baricentro :@0.367974:0.227370:0.444986:0.227370:0.444986:0.212006:0.367974:0.212006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(G).:@0.444817:0.227370:0.466478:0.227370:0.466478:0.212471:0.444817:0.212471:0.000000:0.000000:0.000000:0.000000
Mediatriz:@0.126270:0.254402:0.194955:0.254402:0.194955:0.239038:0.126270:0.239038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es la :@0.212294:0.246858:0.246184:0.246858:0.246184:0.231959:0.212294:0.231959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendicular :@0.248194:0.246858:0.351774:0.246858:0.351774:0.231494:0.248194:0.231494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
levantada en el :@0.353667:0.246858:0.460698:0.246858:0.460698:0.231959:0.353667:0.231959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto medio :@0.462709:0.246858:0.560241:0.246858:0.560241:0.231494:0.462709:0.231494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cada lado. El punto de intersección de las  :@0.562134:0.246858:0.871702:0.246858:0.871702:0.231959:0.562134:0.231959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediatrices se denomina :@0.212277:0.261946:0.376534:0.261946:0.376534:0.247047:0.212277:0.247047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circuncentro:@0.376199:0.261946:0.463429:0.261946:0.463429:0.246582:0.376199:0.246582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (C) y es el centro de la circunferencia :@0.463094:0.261946:0.700445:0.261946:0.700445:0.247047:0.463094:0.247047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunscrita:@0.700110:0.261946:0.779835:0.261946:0.779835:0.246582:0.700110:0.246582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al triángulo.:@0.779500:0.261946:0.857047:0.261946:0.857047:0.247047:0.779500:0.247047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bisectriz:@0.130090:0.288978:0.191102:0.288978:0.191102:0.273614:0.130090:0.273614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es la recta que :@0.212277:0.281434:0.314400:0.281434:0.314400:0.266535:0.212277:0.266535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divide :@0.316008:0.281434:0.363669:0.281434:0.363669:0.266070:0.316008:0.266070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al ángulo en :@0.365176:0.281434:0.453043:0.281434:0.453043:0.266535:0.365176:0.266535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos :@0.454651:0.281434:0.483783:0.281434:0.483783:0.266070:0.454651:0.266070:0.000000:0.000000:0.000000:0.000000
ángulos de igual medida. El punto de intersección de las :@0.485291:0.281434:0.871687:0.281434:0.871687:0.266535:0.485291:0.266535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.868016:0.281434:0.871685:0.281434:0.871685:0.266535:0.868016:0.266535:0.000000
bisectrices se denomina :@0.212260:0.296522:0.373083:0.296522:0.373083:0.281623:0.212260:0.281623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incentro:@0.372916:0.296522:0.432270:0.296522:0.432270:0.281158:0.372916:0.281158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (I) y es el centro de la circunferencia :@0.432102:0.296522:0.669852:0.296522:0.669852:0.281623:0.432102:0.281623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inscrita:@0.669685:0.296522:0.721533:0.296522:0.721533:0.281158:0.669685:0.281158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en el triángulo.:@0.721366:0.296522:0.821880:0.296522:0.821880:0.281623:0.721366:0.281623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Altura:@0.138282:0.323554:0.182893:0.323554:0.182893:0.308190:0.138282:0.308190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una recta :@0.212260:0.316010:0.295252:0.316010:0.295252:0.301111:0.212260:0.301111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendicular:@0.295654:0.316010:0.395934:0.316010:0.395934:0.300646:0.295654:0.300646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a cada lado del triángulo, que pasa por el :@0.395766:0.316010:0.674744:0.316010:0.674744:0.301111:0.395766:0.301111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice opuesto:@0.675146:0.316010:0.785913:0.316010:0.785913:0.300646:0.675146:0.300646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de ese lado.  :@0.785745:0.316010:0.871685:0.316010:0.871685:0.301111:0.785745:0.301111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El punto de intersección de las alturas es el :@0.212260:0.331098:0.493449:0.331098:0.493449:0.316199:0.212260:0.316199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ortocentro :@0.493282:0.331098:0.572755:0.331098:0.572755:0.315733:0.493282:0.315733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(H).:@0.572588:0.331098:0.594433:0.331098:0.594433:0.316199:0.572588:0.316199:0.000000:0.000000:0.000000:0.000000
a):@0.151247:0.768088:0.166154:0.768088:0.166154:0.751187:0.151247:0.751187:0.000000:0.000000
El circuncentro es el punto donde se cortan las mediatrices.:@0.184969:0.768088:0.620462:0.768088:0.620462:0.751699:0.184969:0.751699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.151247:0.788515:0.167463:0.788515:0.167463:0.771614:0.151247:0.771614:0.000000:0.000000
Todo triángulo tiene 3 medianas, 3 alturas y 3 bisectrices.:@0.184969:0.788515:0.590060:0.788515:0.590060:0.772126:0.184969:0.772126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.151247:0.808942:0.165067:0.808942:0.165067:0.792042:0.151247:0.792042:0.000000:0.000000
El circuncentro es el centro de la circunferencia inscrita al triángulo.:@0.184969:0.808942:0.675839:0.808942:0.675839:0.792554:0.184969:0.792554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.151247:0.829370:0.167500:0.829370:0.167500:0.812469:0.151247:0.812469:0.000000:0.000000
En un triángulo equilátero las bisectrices coinciden con las medianas.:@0.184969:0.829370:0.691318:0.829370:0.691318:0.812981:0.184969:0.812981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e):@0.151247:0.849797:0.166302:0.849797:0.166302:0.832897:0.151247:0.832897:0.000000:0.000000
Las tres bisectrices se intersecan en un punto llamado baricentro.:@0.184969:0.849797:0.662438:0.849797:0.662438:0.833408:0.184969:0.833408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f):@0.151247:0.870225:0.164256:0.870225:0.164256:0.853324:0.151247:0.853324:0.000000:0.000000
La altura siempre es perpendicular al lado del triángulo.:@0.184969:0.870225:0.590572:0.870225:0.590572:0.853836:0.184969:0.853836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g):@0.151247:0.890652:0.167352:0.890652:0.167352:0.873751:0.151247:0.873751:0.000000:0.000000
El ortocentro es la intersección de las alturas.:@0.184969:0.890652:0.511612:0.890652:0.511612:0.874263:0.184969:0.874263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h):@0.151247:0.911079:0.167334:0.911079:0.167334:0.894179:0.151247:0.894179:0.000000:0.000000
La mediatriz se traza desde un vértice al punto medio del lado opuesto.:@0.184969:0.911079:0.708143:0.911079:0.708143:0.894690:0.184969:0.894690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.770227:0.429176:0.777841:0.429176:0.777841:0.415767:0.770227:0.415767:0.000000
C:@0.785395:0.522825:0.793989:0.522825:0.793989:0.509416:0.785395:0.509416:0.000000
A:@0.683353:0.472470:0.692173:0.472470:0.692173:0.459061:0.683353:0.459061:0.000000
E:@0.733188:0.447318:0.740214:0.447318:0.740214:0.433908:0.733188:0.433908:0.000000
d:@0.718020:0.450724:0.726222:0.450724:0.726222:0.437314:0.718020:0.437314:0.000000
F:@0.751703:0.468682:0.758668:0.468682:0.758668:0.455272:0.751703:0.455272:0.000000
I:@0.778510:0.468682:0.781691:0.468682:0.781691:0.455272:0.778510:0.455272:0.000000
G:@0.738299:0.503885:0.747707:0.503885:0.747707:0.490476:0.738299:0.490476:0.000000
punto medio:@0.331894:0.475285:0.411230:0.475285:0.411230:0.461876:0.331894:0.461876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.283614:0.486289:0.294067:0.486289:0.294067:0.471390:0.283614:0.471390:0.000000
H:@0.647183:0.579633:0.657737:0.579633:0.657737:0.564734:0.647183:0.564734:0.000000
l:@0.024496:0.769336:0.028047:0.769336:0.028047:0.754437:0.024496:0.754437:0.000000
C:@0.396431:0.640043:0.405025:0.640043:0.405025:0.626634:0.396431:0.626634:0.000000
L:@0.349888:0.578451:0.356643:0.578451:0.356643:0.565042:0.349888:0.565042:0.000000
e:@0.318015:0.569648:0.325327:0.569648:0.325327:0.556239:0.318015:0.556239:0.000000
B:@0.378324:0.535701:0.385938:0.535701:0.385938:0.522292:0.378324:0.522292:0.000000
A:@0.262727:0.588364:0.271547:0.588364:0.271547:0.574955:0.262727:0.574955:0.000000
V:@0.845553:0.769148:0.854933:0.769148:0.854933:0.752759:0.845553:0.752759:0.000000
V:@0.845553:0.789271:0.854933:0.789271:0.854933:0.772882:0.845553:0.772882:0.000000
F:@0.845977:0.809394:0.854490:0.809394:0.854490:0.793005:0.845977:0.793005:0.000000
V:@0.845553:0.829517:0.854933:0.829517:0.854933:0.813128:0.845553:0.813128:0.000000
F:@0.845977:0.849640:0.854490:0.849640:0.854490:0.833251:0.845977:0.833251:0.000000
V:@0.845553:0.869763:0.854933:0.869763:0.854933:0.853374:0.845553:0.853374:0.000000
V:@0.845553:0.889886:0.854933:0.889886:0.854933:0.873497:0.845553:0.873497:0.000000
F:@0.845977:0.910009:0.854490:0.910009:0.854490:0.893620:0.845977:0.893620:0.000000