{"id":3034,"date":"2023-01-14T08:53:22","date_gmt":"2023-01-14T13:53:22","guid":{"rendered":"https:\/\/josmfs.net\/?p=3034"},"modified":"2024-04-05T17:15:24","modified_gmt":"2024-04-05T21:15:24","slug":"three-triangles-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/01\/14\/three-triangles-puzzle\/","title":{"rendered":"Three Triangles Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3032\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/01\/Three-Triangles-Fig2.jpg\" alt=\"\" width=\"201\" height=\"102\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/01\/Three-Triangles-Fig2.jpg 508w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/01\/Three-Triangles-Fig2-300x152.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>This is a nice little puzzle from the late Nick Berry\u2019s Datagenetics Blog.<\/p>\n<p>\u201cA quick little puzzle this week. (I tried to track down the original source, but reached a dead-end with a web search as the site that hosted it, a blogspot page under the name <em>fivetriangles<\/em> appears password protected, and no longer maintained). \u2026<\/p>\n<p>There are three identical triangles with aligned bases (in the original problem, it is stated they are equilateral, but I don&#8217;t think that really matters; Any congruent triangles will do, and I&#8217;m going to use isosceles triangles in my solving). If we say that one triangle has the area A, what is the area of the two shaded regions?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Three-Triangles-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/01\/Three-Triangles-Puzzle-221019.pdf\">Three Triangles Puzzle<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a nice little puzzle from the late Nick Berry\u2019s Datagenetics Blog. \u201cA quick little puzzle this week. (I tried to track down the original source, but reached a dead-end with a web search as the site that hosted it, a blogspot page under the name fivetriangles appears password protected, and no longer maintained). [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[251,13],"class_list":["post-3034","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-datagenetics-blog","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3034","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=3034"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3034\/revisions"}],"predecessor-version":[{"id":3562,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3034\/revisions\/3562"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3034"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}