{"id":394,"date":"2019-01-04T15:24:38","date_gmt":"2019-01-04T20:24:38","guid":{"rendered":"http:\/\/josmfs.net\/wordpress\/?p=394"},"modified":"2019-01-04T15:28:04","modified_gmt":"2019-01-04T20:28:04","slug":"polygon-altitude-problems-ii","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/01\/04\/polygon-altitude-problems-ii\/","title":{"rendered":"Polygon Altitude Problems II"},"content":{"rendered":"<p><a href=\"https:\/\/twitter.com\/jamestanton\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-396\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Polygon-Altitude-Prob-II-Triangle.jpg\" alt=\"\" width=\"200\" height=\"115\" \/>James Tanton<\/a> has provided further elaborations on the polygons and the sum of perpendicular distances from interior points. Again I approached the solutions with a mix of areas and vectors. It is rather impressive to see the number of variations that can be rung on the Viviani Theorem theme. See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Polygon-Altitude-Problems-II-181013.pdf\">Polygon Altitude Problems II<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>James Tanton has provided further elaborations on the polygons and the sum of perpendicular distances from interior points. Again I approached the solutions with a mix of areas and vectors. It is rather impressive to see the number of variations that can be rung on the Viviani Theorem theme. See Polygon Altitude Problems II<\/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":[43,13,31,44],"class_list":["post-394","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-james-tanton","tag-plane-geometry","tag-vectors","tag-viviani-theorem"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/394","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=394"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/394\/revisions"}],"predecessor-version":[{"id":399,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/394\/revisions\/399"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}