{"id":1557,"date":"2020-03-08T16:08:03","date_gmt":"2020-03-08T16:08:03","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=1557"},"modified":"2020-03-15T12:21:50","modified_gmt":"2020-03-15T12:21:50","slug":"perpendiculares","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2020\/03\/08\/perpendiculares\/","title":{"rendered":"Perpendiculares"},"content":{"rendered":"<pre>Problema 5 de la Fase Local de la LVI OME 2020\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Sea ABC un tri\u00e1ngulo con AB &lt; AC y sea I su incentro. El inc\u00edrculo es tangente al lado BC en el punto D.<\/p>\n<p>Sea E el \u00fanico punto que satisface que D es el punto medio del segmento BE.<\/p>\n<p>La l\u00ednea perpendicular a BC que pasa por E corta a CI en el punto P.<\/p>\n<p>Demostrar que BP es perpendicular a AD.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2020\/03\/136.Perpendiculares.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-1558\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2020\/03\/136.Perpendiculares.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2020\/03\/136.Perpendiculares-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2020\/03\/14\/solucion-a-perpendiculares\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 5 de la Fase Local de la LVI OME 2020 Se dirige a una edad de: 16-17 a\u00f1os Sea ABC un tri\u00e1ngulo con AB &lt; AC y sea I su incentro. El inc\u00edrculo es tangente al lado BC en el punto D. Sea E el \u00fanico punto que satisface que D es el punto [&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-1557","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\/1557","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=1557"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1557\/revisions"}],"predecessor-version":[{"id":1576,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1557\/revisions\/1576"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=1557"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=1557"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=1557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}