{"id":2738,"date":"2022-06-25T07:21:52","date_gmt":"2022-06-25T11:21:52","guid":{"rendered":"https:\/\/josmfs.net\/?p=2738"},"modified":"2022-06-25T07:21:52","modified_gmt":"2022-06-25T11:21:52","slug":"15-degree-triangle-puzzle","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/06\/25\/15-degree-triangle-puzzle\/","title":{"rendered":"15 Degree Triangle Puzzle"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2736\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/06\/15-Degree-Triangle-Fig2.jpg\" alt=\"\" width=\"200\" height=\"173\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/06\/15-Degree-Triangle-Fig2.jpg 398w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/06\/15-Degree-Triangle-Fig2-300x260.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This math problem from Colin Hughes\u2019s <em>Maths Challenge<\/em> website (mathschallenge.net) is a bit more challenging.<\/p>\n<p>\u201cIn the diagram, AB represents the diameter, C lies on the circumference of the circle, and you are given that<\/p>\n<p style=\"text-align: center;\">(Area of Circle) \/ (Area of Triangle) = 2\u03c0.<\/p>\n<p>Prove that the two smaller angles in the triangle are exactly 15\u00b0 and 75\u00b0 respectively.\u201d<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/06\/15-Degree-Triangle-Puzzle-220617.pdf\">15 Degree Triangle Puzzle<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This math problem from Colin Hughes\u2019s Maths Challenge website (mathschallenge.net) is a bit more challenging. \u201cIn the diagram, AB represents the diameter, C lies on the circumference of the circle, and you are given that (Area of Circle) \/ (Area of Triangle) = 2\u03c0. Prove that the two smaller angles in the triangle are exactly [&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":[133,151,13,41],"class_list":["post-2738","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-colin-hughes","tag-plane-geometry","tag-trigonometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2738","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=2738"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2738\/revisions"}],"predecessor-version":[{"id":2740,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2738\/revisions\/2740"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2738"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2738"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2738"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}