{"id":323,"date":"2022-04-13T10:41:24","date_gmt":"2022-04-13T10:41:24","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=323"},"modified":"2024-05-24T05:51:08","modified_gmt":"2024-05-24T05:51:08","slug":"q-2-converse-of-pythagoras-theorem","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/q-2-converse-of-pythagoras-theorem\/","title":{"rendered":"Q.2 Converse of Pythagoras&#8217; theorem"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Converse of Pythagoras&#8217; theorem<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8550df6181cd5d83aa7a08ef336a4ca1\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<p class=\"has-large-font-size\">If&nbsp;<em>a<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>b<\/em><sup>2<\/sup>&nbsp;=&nbsp;<em>c<\/em><sup>2<\/sup>, then the triangle is a right triangle. This is called the converse of Pythagoras&#8217; theorem.<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#edc7c7\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-22c919c8e45bfb0445287c277b7f15e2\" style=\"color:#b00012\"><strong>A triangle has sides with lengths of 6&nbsp;metres, 8&nbsp;metres, and 13&nbsp;metres. Is it a right triangle?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Plug in 6, 8, and 13. Use the smaller numbers for&nbsp;<em>a<\/em>&nbsp;and&nbsp;<em>b<\/em>&nbsp;and the largest number for&nbsp;<em>c<\/em>.<\/p>\n\n\n\n<p><em>a<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>b<\/em><sup>2<\/sup>&nbsp;=&nbsp;<em>c<\/em><sup>2<\/sup><\/p>\n\n\n\n<p>6<sup>2<\/sup> + 8<sup>2<\/sup> = 13<sup>2<\/sup><\/p>\n\n\n\n<p>36 + 64 = 169<\/p>\n\n\n\n<p>100 \u2260 169<\/p>\n\n\n\n<p>The result is false. So, it is not a right triangle.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#bcf0af\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-3372435229fb1f6b00be21a45942f431\" style=\"color:#b00012\"><strong>A triangle has sides with lengths of 5&nbsp;kilometres, 12&nbsp;kilometres, and 13&nbsp;kilometres. Is it a right triangle?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Plug in 5, 12, and 13. Use the smaller numbers for&nbsp;<em>a<\/em>&nbsp;and&nbsp;<em>b<\/em>&nbsp;and the largest number for&nbsp;<em>c<\/em>.<\/p>\n\n\n\n<p><em>a<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>b<\/em><sup>2<\/sup>&nbsp;=&nbsp;<em>c<\/em><sup>2<\/sup><\/p>\n\n\n\n<p>5<sup>2<\/sup> + 12<sup>2<\/sup> = 13<sup>2<\/sup><\/p>\n\n\n\n<p>25 + 144 = 169<\/p>\n\n\n\n<p>169 = 169<\/p>\n\n\n\n<p>The result is true. So, it is  a right triangle.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e1c5e6\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-133de348c74318fcadec1b981263bcb5\" style=\"color:#b00012\"><strong>A triangle has sides with lengths of 9&nbsp;metres, 10&nbsp;metres, and 12&nbsp;metres. Is it a right triangle?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Plug in 9, 10, and 12. Use the smaller numbers for&nbsp;<em>a<\/em>&nbsp;and&nbsp;<em>b<\/em>&nbsp;and the largest number for&nbsp;<em>c<\/em>.<\/p>\n\n\n\n<p><em>a<\/em><sup>2<\/sup>&nbsp;+&nbsp;<em>b<\/em><sup>2<\/sup>&nbsp;=&nbsp;<em>c<\/em><sup>2<\/sup><\/p>\n\n\n\n<p>9<sup>2<\/sup> + 10<sup>2<\/sup> = 12<sup>2<\/sup><\/p>\n\n\n\n<p>81 + 100 = 144<\/p>\n\n\n\n<p>181 \u2260&nbsp;169<\/p>\n\n\n\n<p>The result is false. So, it is not a right triangle.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/73794\/609\/588\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-109.png\" alt=\"\" class=\"wp-image-7206\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-109.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-109-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-109-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/38106\/693\/582\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-127.png\" alt=\"\" class=\"wp-image-7207\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-127.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-127-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-127-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Converse of Pythagoras&#8217; theorem Key Notes : If&nbsp;a2&nbsp;+&nbsp;b2&nbsp;=&nbsp;c2, then the triangle is a right triangle. This is called the converse of Pythagoras&#8217; theorem. Learn with an example A triangle has sides with lengths of 6&nbsp;metres, 8&nbsp;metres, and 13&nbsp;metres. Is it a right triangle? Plug in 6, 8, and 13. Use the smaller numbers for&nbsp;a&nbsp;and&nbsp;b&nbsp;and the<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/q-2-converse-of-pythagoras-theorem\/\">Continue reading <span class=\"screen-reader-text\">&#8220;Q.2 Converse of Pythagoras&#8217; theorem&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-323","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/323","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=323"}],"version-history":[{"count":9,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/323\/revisions"}],"predecessor-version":[{"id":12702,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/323\/revisions\/12702"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=323"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}