{"id":262,"date":"2024-05-26T18:51:42","date_gmt":"2024-05-26T16:51:42","guid":{"rendered":"http:\/\/wordpress.p666246.webspaceconfig.de\/?p=262"},"modified":"2024-05-26T18:51:42","modified_gmt":"2024-05-26T16:51:42","slug":"beispiele-zum-rechnen","status":"publish","type":"post","link":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/2024\/05\/26\/beispiele-zum-rechnen\/","title":{"rendered":"Beispiele zum rechnen"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Damit du nun dein Wissen der Formel anwenden kannst sind hier ein paar Beispiele, welche schon vorgerechnet wurden. Du k\u00f6nnest den Rechenweg und die L\u00f6sung abdecken und danach die Aufgabe selber rechnen. Anschlie\u00dfend kannst du deine Rechnung mit meiner vergleichen und gucken ob alles richtig ist.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Beispiel 1:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Berechne die Fl\u00e4che der Hypotenuse.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"http:\/\/wordpress-mathepythagoras.p666246.webspaceconfig.de\/wp-content\/uploads\/2024\/05\/image-5.png\" alt=\"\" class=\"wp-image-50\" style=\"width:348px;height:auto\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">geg.: a=4cm, b=3cm  ges.: c=?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kathete\u00b2 + Kathete\u00b2 = Hypotenuse\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a\u00b2+b\u00b2=c\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(4cm)\u00b2+(3cm)\u00b2=c\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">16cm\u00b2+9cm\u00b2=c\u00b2<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-1 wp-block-paragraph\" style=\"color:#60d71c\">25cm\u00b2=c\u00b2<\/p>\n\n\n\n<hr class=\"wp-block-separator alignfull has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Beispiel 2:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Berechne die Seitenl\u00e4nge der Hypotenuse.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"http:\/\/wordpress-mathepythagoras.p666246.webspaceconfig.de\/wp-content\/uploads\/2024\/05\/image-6.png\" alt=\"\" class=\"wp-image-51\" style=\"width:473px;height:auto\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">geg.: a=6cm, b=4cm  ges.: c=?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kathete\u00b2 + Kathete\u00b2 = Hypotenuse\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a\u00b2+b\u00b2=c\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(6cm)\u00b2+(4cm)\u00b2=c\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">36cm\u00b2+16cm\u00b2=c\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">52cm\u00b2=c\u00b2   \/\u221a<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-2 wp-block-paragraph\" style=\"color:#60d71c\">7,211=c<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-3 wp-block-paragraph\" style=\"color:#d21f1f\"><strong>Merke:<\/strong> <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-4 wp-block-paragraph\" style=\"color:#d21f1f\">Wen du die Seitenl\u00e4nge und nicht die Fl\u00e4che ausrechnen m\u00f6chtest musst du die Fl\u00e4che der Hypotenuse immer durch die Wurzel rechnen.<\/p>\n\n\n\n<hr class=\"wp-block-separator alignfull has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Beispiel 3:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Berechne die Fl\u00e4che der Hypotenuse.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"http:\/\/wordpress-mathepythagoras.p666246.webspaceconfig.de\/wp-content\/uploads\/2024\/05\/image-7.png\" alt=\"\" class=\"wp-image-54\" style=\"width:498px;height:auto\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">geg.: y=7cm, z=11cm  ges.: x=?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Kathete\u00b2 + Kathete\u00b2 = Hypotenuse\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y\u00b2+z\u00b2=x\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(7cm)\u00b2+(11cm)\u00b2=x\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">49cm\u00b2+121cm\u00b2=x\u00b2<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5 wp-block-paragraph\" style=\"color:#60d71c\">170cm\u00b2=x\u00b2<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Damit du nun dein Wissen der Formel anwenden kannst sind hier ein paar Beispiele, welche schon vorgerechnet wurden. Du k\u00f6nnest den Rechenweg und die L\u00f6sung abdecken und danach die Aufgabe selber rechnen. Anschlie\u00dfend kannst du deine Rechnung mit meiner vergleichen und gucken ob alles richtig ist. Beispiel 1: Berechne die Fl\u00e4che der Hypotenuse. geg.: a=4cm, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-262","post","type-post","status-publish","format-standard","hentry","category-allgemein"],"_links":{"self":[{"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/posts\/262","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/comments?post=262"}],"version-history":[{"count":1,"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/posts\/262\/revisions"}],"predecessor-version":[{"id":265,"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/posts\/262\/revisions\/265"}],"wp:attachment":[{"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/media?parent=262"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/categories?post=262"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/wordpress.p666246.webspaceconfig.de\/index.php\/wp-json\/wp\/v2\/tags?post=262"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}