{"id":1345,"date":"2022-04-04T13:39:07","date_gmt":"2022-04-04T11:39:07","guid":{"rendered":"https:\/\/mxth.dk\/?p=1345"},"modified":"2022-04-09T01:04:38","modified_gmt":"2022-04-08T23:04:38","slug":"arealsaetningen","status":"publish","type":"post","link":"https:\/\/mxth.dk\/?p=1345","title":{"rendered":"Areals\u00e6tningen"},"content":{"rendered":"\n<p class=\" eplus-wrapper\">Vi ser her p\u00e5 hvorledes vi kan beregne arealet i en vilk\u00e5rlig trekant uden at kende til dens h\u00f8jde. Der er oftes tre formler n\u00e5r man ser i en formelsamling som ser s\u00e5ledes ud.<\/p>\n\n\n\n<p class=\"has-text-align-center eplus-wrapper\">$\\small T=\\frac{1}{2}\\cdot a\\cdot b\\cdot \\sin(C)$<\/p>\n\n\n\n<p class=\"has-text-align-center eplus-wrapper\">$\\small T=\\frac{1}{2}\\cdot a\\cdot c\\cdot \\sin(B)$<\/p>\n\n\n\n<p class=\"has-text-align-center eplus-wrapper\">$\\small T=\\frac{1}{2}\\cdot b\\cdot c\\cdot \\sin(A)$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">En huskeregl for formlen kan v\u00e6re, at <em>arealet af en trekant er lig med en halv appelsin<\/em>.<\/p>\n\n\n\n<style>\n    table, th, td {\n      border: 1px solid black;\n      border-collapse: collapse;\n    }\n<\/style>\n<table width=\"100%\" border=\"1\">\n    <thead>\n        <tr>\n            <th scope=\"col\" width=\"33%\" bgcolor=\"#3CB371\">Gr\u00f8n<\/th>\n            <th scope=\"col\" width=\"33%\" bgcolor=\"#FFA500\">Gul<\/th>\n            <th scope=\"col\" width=\"33%\" bgcolor=\"#DC143C\">R\u00f8d<\/th>\n        <\/tr>\n    <\/thead>\n    <tbody>\n        <tr>\n            <td>\n                <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-hf-mat-c\/trigonometri-1?authuser=0#h.ryv63hq6hgyi\" target=\"_blank\" rel=\"noopener\">HF-C 622<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-hf-mat-c\/trigonometri-1?authuser=0#h.bzxascqo54so\" target=\"_blank\" rel=\"noopener\">HF-C 624<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-hf-mat-c\/trigonometri-1?authuser=0#h.j2fhzs5itvn6\" target=\"_blank\" rel=\"noopener\">HF-C 623<\/a><\/p>\n                <\/td>\n            <\/tr>\n            \n            <tr>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS001\" target=\"_blank\" rel=\"noopener\">TAS001<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-hf-mat-c\/trigonometri-1?authuser=0#h.ot8glc1u7o2z\" target=\"_blank\" rel=\"noopener\">HF-C 625<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-hf-mat-c\/trigonometri-2?authuser=0#h.xunlfanx5d38\" target=\"_blank\" rel=\"noopener\">HF-C 664<\/a><\/p>\n                <\/td>\n            <\/tr>\n            \n            <tr>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS002\" target=\"_blank\" rel=\"noopener\">TAS002<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-hf-mat-c\/trigonometri-1?authuser=0#h.34teh9ienb2c\" target=\"_blank\" rel=\"noopener\">HF-C 626<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-matbhtx-2017\/geometri-og-trigonometri?authuser=0#h.3ptsbhcxe8lq\" target=\"_blank\" rel=\"noopener\">MatBhtx 3.20<\/a><\/p>\n                <\/td>\n            <\/tr>\n            \n            <tr>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS003\" target=\"_blank\" rel=\"noopener\">TAS003<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-hf-mat-c\/trigonometri-2?authuser=0#h.7be7c6312n0v\" target=\"_blank\" rel=\"noopener\">HF-C 649<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS010\" target=\"_blank\" rel=\"noopener\">TAS010<\/a><\/p>\n                <\/td>\n            <\/tr>\n            \n            <tr>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS004\" target=\"_blank\" rel=\"noopener\">TAS004<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-hf-mat-c\/trigonometri-2?authuser=0#h.kbvwqwcgp93s\" target=\"_blank\" rel=\"noopener\">HF-C 657<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS011\" target=\"_blank\" rel=\"noopener\">TAS011<\/a><\/p>\n                <\/td>\n            <\/tr>\n            \n            <tr>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS005\" target=\"_blank\" rel=\"noopener\">TAS005<\/a><\/p>\n                <\/td>\n                <td>\n                    <p><a href=\"https:\/\/sites.google.com\/view\/matematikopgaver\/start\/systime-hf-mat-c\/trigonometri-2?authuser=0#h.8y5rqnt1pg4o\" target=\"_blank\" rel=\"noopener\">HF-C 658<\/a><\/p>\n                <\/td>\n                <td><\/td>\n            <\/tr>\n            \n            <tr>\n                <td><\/td>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS006\" target=\"_blank\" rel=\"noopener\">TAS006<\/a><\/p>\n                <\/td>\n                <td><\/td>\n            <\/tr>\n            \n            <tr>\n                <td><\/td>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS007\" target=\"_blank\" rel=\"noopener\">TAS007<\/a><\/p>\n                <\/td>\n                <td><\/td>\n            <\/tr>\n            \n            <tr>\n                <td><\/td>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS008\" target=\"_blank\" rel=\"noopener\">TAS008<\/a><\/p>\n                <\/td>\n                <td><\/td>\n            <\/tr>\n            \n            <tr>\n                <td><\/td>\n                <td>\n                    <p><a href=\"https:\/\/mxth.dk\/?page_id=331#TAS009\" target=\"_blank\" rel=\"noopener\">TAS009<\/a><\/p>\n                <\/td>\n                <td><\/td>\n            <\/tr>\n        <\/tbody>\n    <\/table>\n\n\n\n<p class=\" eplus-wrapper\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vi ser her p\u00e5 hvorledes vi kan beregne arealet af en vilk\u00e5rlig trekant uden at kende dens h\u00f8jde.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","editor_plus_copied_stylings":"{}","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3,32],"tags":[],"class_list":["post-1345","post","type-post","status-publish","format-standard","hentry","category-matematik","category-trigonometri"],"featured_image_src":null,"author_info":{"display_name":"Henriksen","author_link":"https:\/\/mxth.dk\/?author=1"},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/1345","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1345"}],"version-history":[{"count":8,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/1345\/revisions"}],"predecessor-version":[{"id":1614,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/1345\/revisions\/1614"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1345"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}