{"id":716,"date":"2019-03-05T13:26:45","date_gmt":"2019-03-05T18:26:45","guid":{"rendered":"http:\/\/josmfs.net\/?p=716"},"modified":"2024-04-14T16:52:13","modified_gmt":"2024-04-14T20:52:13","slug":"chalkdust-triangle-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/03\/05\/chalkdust-triangle-problem\/","title":{"rendered":"Chalkdust Triangle Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3886\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Chalkdust-Triangle-Fig2.jpg\" alt=\"\" width=\"200\" height=\"192\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Chalkdust-Triangle-Fig2.jpg 493w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Chalkdust-Triangle-Fig2-300x288.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>The issue 7 of the Chalkdust mathematics magazine had an interesting geometric problem presented by Matthew Scroggs.<\/p>\n<p>\u201cIn the diagram, ABDC is a square. Angles ACE and BDE are both 75\u00b0. Is triangle ABE equilateral? Why\/why not?\u201d<\/p>\n<p>I had a solution, but alas, the Scroggs\u2019s solution was far more elegant.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Chalkdust-Triangle-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/03\/Chalkdust-Triangle-Problem-190305.pdf\">Chalkdust Triangle Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The issue 7 of the Chalkdust mathematics magazine had an interesting geometric problem presented by Matthew Scroggs. \u201cIn the diagram, ABDC is a square. Angles ACE and BDE are both 75\u00b0. Is triangle ABE equilateral? Why\/why not?\u201d I had a solution, but alas, the Scroggs\u2019s solution was far more elegant. Answer. See the Chalkdust Triangle [&hellip;]<\/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":[92,112,93,13],"class_list":["post-716","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-chalkdust-magazine","tag-coxeter","tag-matthew-scroggs","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/716","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=716"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/716\/revisions"}],"predecessor-version":[{"id":3888,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/716\/revisions\/3888"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=716"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=716"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=716"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}