{"id":1938,"date":"2021-02-14T08:19:54","date_gmt":"2021-02-14T08:19:54","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=1938"},"modified":"2021-02-20T19:13:04","modified_gmt":"2021-02-20T19:13:04","slug":"triangulo","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2021\/02\/14\/triangulo\/","title":{"rendered":"Tri\u00e1ngulo"},"content":{"rendered":"<pre>Problema 3 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2021\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>En el tri\u00e1ngulo ABC con lado mayor BC, las bisectrices se cortan en I. Las rectas AI, BI y CI cortan a BC, CA y AB en los puntos D, E y F, respectivamente.<br \/>\nSe consideran puntos G y H, en los segmentos BD y CD, respectivamente, tales que el \u00e1ngulo GID es igual a ABC, y HID es igual a ACB. Probar que BHE = CGF<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2021\/02\/182.Triangulo.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-1939\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2021\/02\/182.Triangulo.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2021\/02\/182.Triangulo-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2021\/02\/20\/solucion-a-triangulo\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 3 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2021 Se dirige a una edad de: 16-17 a\u00f1os En el tri\u00e1ngulo ABC con lado mayor BC, las bisectrices se cortan en I. Las rectas AI, BI y CI cortan a BC, CA y AB en los puntos D, E y F, respectivamente. [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2849],"tags":[],"class_list":["post-1938","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1938","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=1938"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1938\/revisions"}],"predecessor-version":[{"id":1947,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1938\/revisions\/1947"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=1938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=1938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=1938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}