{"id":1198,"date":"2020-06-20T16:32:04","date_gmt":"2020-06-20T14:32:04","guid":{"rendered":"http:\/\/mathe-lernen.net\/?p=1198"},"modified":"2024-09-15T09:03:55","modified_gmt":"2024-09-15T07:03:55","slug":"innenwinkelsumme-des-dreiecks","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=1198","title":{"rendered":"Innenwinkelsumme des Dreiecks"},"content":{"rendered":"\n<p><img loading=\"lazy\" decoding=\"async\" width=\"50\" height=\"50\" class=\"wp-image-7501\" style=\"width: 50px;\" src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2.png\" alt=\"\" srcset=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2.png 100w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2-80x80.png 80w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/06\/award2-50x50.png 50w\" sizes=\"auto, (max-width: 50px) 100vw, 50px\" \/><\/p>\n\n\n\n<p class=\"has-white-color has-primary-background-color has-text-color has-background\">Die drei Innenwinkel im Dreieck  summieren sich immer zu 180\u00b0.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#ffe0db\">$$ \\alpha + \\beta + \\gamma = 180\u00b0 $$<\/p>\n\n\n\n<p class=\"has-light-gray-background-color has-background\">Mach ein Experiment:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"260\" src=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/09\/iws_experiment.jpg\" alt=\"\" class=\"wp-image-9153\" srcset=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/09\/iws_experiment.jpg 1000w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/09\/iws_experiment-300x78.jpg 300w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/09\/iws_experiment-768x200.jpg 768w, https:\/\/mathe-lernen.net\/wp-content\/uploads\/2024\/09\/iws_experiment-200x52.jpg 200w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Schneide ein Dreieck aus Papier aus.<\/li>\n\n\n\n<li>Rei\u00dfe die 3 Ecken ab.<\/li>\n\n\n\n<li>Lege die Ecken derart aneinander, dass sich die Scheitelpunkte der Winkel ber\u00fchren.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-background\" style=\"background-color:#dafffa\"><strong>Oder vertraue den Zahlen&#8230;<\/strong><br>Probiere es hier aus&#8230;rechne nach!<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><iframe loading=\"lazy\" scrolling=\"no\" title=\"dreieck_IWS1\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/cfnt8dtu\/width\/607\/height\/486\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/true\/rc\/false\/ld\/false\/sdz\/true\/ctl\/false\" width=\"607px\" height=\"486px\" style=\"border:0px;\"> <\/iframe><\/pre>\n\n\n\n<p class=\"has-text-align-center has-white-color has-text-color has-background has-link-color wp-elements-b971dc949d5e2843bbee83af0ff87780\" style=\"background-color:#ff0000\"><a href=\"https:\/\/mathe-lernen.net\/?p=8344\">Hier gehts zum <strong>Test<\/strong>.<\/a><\/p>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_1198\" class=\"pvc_stats all  \" data-element-id=\"1198\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p><div class=\"pvc_clear\"><\/div> ","protected":false},"excerpt":{"rendered":"<p>Die drei Innenwinkel im Dreieck summieren sich immer zu 180\u00b0. $$ \\alpha + \\beta + \\gamma = 180\u00b0 $$ Mach ein Experiment: Oder vertraue den Zahlen&#8230;Probiere es hier aus&#8230;rechne nach! Hier gehts zum Test.<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_1198\" class=\"pvc_stats all  \" data-element-id=\"1198\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[138,981,33],"tags":[124,913,914,917],"class_list":["post-1198","post","type-post","status-publish","format-standard","hentry","category-geogebra","category-dreiecke","category-geometrie-der-ebene","tag-dreieck","tag-iws","tag-innenwinkelsumme","tag-917"],"a3_pvc":{"activated":true,"total_views":308,"today_views":0},"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1198","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1198"}],"version-history":[{"count":4,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1198\/revisions"}],"predecessor-version":[{"id":9154,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/1198\/revisions\/9154"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1198"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1198"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}