{"id":4500,"date":"2025-08-02T10:09:32","date_gmt":"2025-08-02T14:09:32","guid":{"rendered":"https:\/\/josmfs.net\/?p=4500"},"modified":"2025-08-02T10:09:32","modified_gmt":"2025-08-02T14:09:32","slug":"four-equilateral-triangles","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2025\/08\/02\/four-equilateral-triangles\/","title":{"rendered":"Four Equilateral Triangles"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4497\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Four-Equilateral-Triangles-Fig2.jpg\" alt=\"\" width=\"200\" height=\"176\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Four-Equilateral-Triangles-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Four-Equilateral-Triangles-Fig2-300x264.jpg 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is an old puzzle from Catriona Agg that I found on BL\u2019s Math Games <a href=\"https:\/\/medium.com\/math-games\/tell-me-why-meta-reasoning-works-this-time-337ca4ef02ee\">website<\/a>.<\/p>\n<p>\u201cAll four triangles are equilateral. What fraction of the largest triangle is shaded?\u201d<\/p>\n<p>This problem turned out to be both easy and unexpectedly challenging, at least for me.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Four-Equilateral-Triangles-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2025\/08\/Four-Equilateral-Triangles-250723.pdf\">Four Equilateral Triangles<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is an old puzzle from Catriona Agg that I found on BL\u2019s Math Games website. \u201cAll four triangles are equilateral. What fraction of the largest triangle is shaded?\u201d This problem turned out to be both easy and unexpectedly challenging, at least for me. Answer. See Four Equilateral Triangles for solutions.<\/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":[274,42,13],"class_list":["post-4500","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-bl-puzzles","tag-catriona-agg","tag-plane-geometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4500","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=4500"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4500\/revisions"}],"predecessor-version":[{"id":4501,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4500\/revisions\/4501"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4500"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4500"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4500"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}