{"id":3203,"date":"2023-06-10T12:38:32","date_gmt":"2023-06-10T16:38:32","guid":{"rendered":"https:\/\/josmfs.net\/?p=3203"},"modified":"2023-06-10T12:38:32","modified_gmt":"2023-06-10T16:38:32","slug":"a-triangle-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/06\/10\/a-triangle-puzzle\/","title":{"rendered":"A Triangle Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3201\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/06\/A-Triangle-Puzzle-Fig2.jpg\" alt=\"\" width=\"200\" height=\"208\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/06\/A-Triangle-Puzzle-Fig2.jpg 401w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/06\/A-Triangle-Puzzle-Fig2-288x300.jpg 288w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>The Futility Closet website had the following <a href=\"https:\/\/www.futilitycloset.com\/2018\/07\/21\/a-triangle-puzzle\/\">problem<\/a>:<\/p>\n<p>\u201cIn isosceles triangle ABC, CD = AB and BE is perpendicular to AC. Show that CEB is a 3-4-5 right triangle.\u201d<\/p>\n<p>See a <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/06\/A-Triangle-Puzzle-180724.pdf\">Triangle Puzzle<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Futility Closet website had the following problem: \u201cIn isosceles triangle ABC, CD = AB and BE is perpendicular to AC. Show that CEB is a 3-4-5 right triangle.\u201d See a Triangle Puzzle<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[40,16,13],"class_list":["post-3203","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-analytic-geometry","tag-futility-closet","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3203","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=3203"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3203\/revisions"}],"predecessor-version":[{"id":3204,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3203\/revisions\/3204"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}