{"id":238,"date":"2022-04-13T10:25:17","date_gmt":"2022-04-13T10:25:17","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=238"},"modified":"2025-02-08T10:41:36","modified_gmt":"2025-02-08T10:41:36","slug":"l-8-distance-formula","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/l-8-distance-formula\/","title":{"rendered":"L.8 Distance formula"},"content":{"rendered":"\n

Distance formula<\/strong><\/h2>\n\n\n\n

Key Notes :<\/p>\n\n\n\n

The distance d between the points (x1 <\/sub> , y1<\/sub> ) and (x2<\/sub> , y2<\/sub> ) can be found using the distance formula<\/strong>:<\/p>\n\n\n\n

d = \u221a(x2<\/sub>-x1<\/sub>)2 <\/sup> +(y2<\/sub>-y1<\/sub>)2<\/sup><\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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Find the distance between the points (10 , 8) and (2 ,2).<\/strong><\/p>\n\n\n\n

Write your answer as a whole number or a fully simplified radical expression. Do not round. ________ Units <\/p>\n<\/div><\/div>\n\n\n\n

To find the distance between the points (10 , 8) and (2 ,2) ,  use the distance formula.<\/p>\n\n\n\n

The first point is (10 , 8) . So, x1<\/sub> = 10 and y1<\/sub>=8 .<\/p>\n\n\n\n

The second point is (2 ,2) . So , x2<\/sub> = 2 and y2<\/sub>=2.<\/p>\n\n\n\n

Substitute these values into the distance formula.<\/p>\n\n\n\n

d = \u221a(x2<\/sub>-x1<\/sub>)2 <\/sup> +(y2<\/sub>-y1<\/sub>)2<\/sup><\/p>\n\n\n\n

d = \u221a(2 – 10)2<\/sup> + (2 – 8)2<\/sup><\/p>\n\n\n\n

d = \u221a(-8)2<\/sup> + (-6)2<\/sup><\/p>\n\n\n\n

d = \u221a64 + 36<\/p>\n\n\n\n

d = \u221a100<\/p>\n\n\n\n

d = 10<\/p>\n\n\n\n

The distance between (10 , 8) and (2 ,2) is 10 units<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n

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Find the distance between the points (6 , 7) and (10 ,4).<\/strong><\/p>\n\n\n\n

Write your answer as a whole number or a fully simplified radical expression. Do not round. ________ Units <\/p>\n<\/div><\/div>\n\n\n\n

To find the distance between the points (6 , 7) and (10 ,4) ,  use the distance formula.<\/p>\n\n\n\n

The first point is (10 , 8) . So, x1<\/sub> = 6 and y1<\/sub>=7 .<\/p>\n\n\n\n

The second point is (2 ,2) . So , x2<\/sub> = 10 and y2<\/sub>=4.<\/p>\n\n\n\n

Substitute these values into the distance formula.<\/p>\n\n\n\n

d = \u221a(x2<\/sub>-x1<\/sub>)2 <\/sup> +(y2<\/sub>-y1<\/sub>)2<\/sup><\/p>\n\n\n\n

d = \u221a(10 – 6)2<\/sup> + (4 – 7)2<\/sup><\/p>\n\n\n\n

d = \u221a(4)2<\/sup> + (-3)2<\/sup><\/p>\n\n\n\n

d = \u221a16 + 9<\/p>\n\n\n\n

d = \u221a25<\/p>\n\n\n\n

d = 5<\/p>\n\n\n\n

The distance between (6 , 7) and (10 ,4) is 5 units<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n

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Find the distance between the points (5 , 0) and (8 ,4).<\/strong><\/p>\n\n\n\n

Write your answer as a whole number or a fully simplified radical expression. Do not round. ________ Units <\/p>\n<\/div><\/div>\n\n\n\n

To find the distance between the points (5 , 0) and (8 ,4) ,  use the distance formula.<\/p>\n\n\n\n

The first point is (5 , 0) . So, x1<\/sub> = 5 and y1<\/sub>=0 .<\/p>\n\n\n\n

The second point is (8 ,4) . So , x2<\/sub> = 8 and y2<\/sub>=4.<\/p>\n\n\n\n

Substitute these values into the distance formula.<\/p>\n\n\n\n

d = \u221a(x2<\/sub>-x1<\/sub>)2 <\/sup> +(y2<\/sub>-y1<\/sub>)2<\/sup><\/p>\n\n\n\n

d = \u221a(8 – 5)2<\/sup> + (4 – 0)2<\/sup><\/p>\n\n\n\n

d = \u221a(3)2<\/sup> + (4)2<\/sup><\/p>\n\n\n\n

d = \u221a9 + 16<\/p>\n\n\n\n

d = \u221a25<\/p>\n\n\n\n

d = 5<\/p>\n\n\n\n

The distance between (5 , 0) and (8 ,4) is 5 units<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/strong><\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Distance formula Key Notes : The distance d between the points (x1 , y1 ) and (x2 , y2 ) can be found using the distance formula: d = \u221a(x2-x1)2 +(y2-y1)2 Learn with an example Find the distance between the points (10 , 8) and (2 ,2). Write your answer as a whole number or a fully simplified radical expression. Do not round. ________ UnitsContinue reading “L.8 Distance formula”<\/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-238","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/238","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=238"}],"version-history":[{"count":14,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/238\/revisions"}],"predecessor-version":[{"id":17514,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/238\/revisions\/17514"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=238"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}