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| 1. |
Check wether (5,-2)(6,4)(7,-2)are the vertices of an isosceles triangle |
| Answer» let ABC be the triangle whose vertices are A (6 , 4) , B ( 5 , - 2) , C (7 , - 2)AB = {tex} \\sqrt{}{/tex}(6 - 5)2\xa0+ (4 + 2)2 = {tex} \\sqrt{}{/tex}12\xa0+ 62\xa0= {tex} \\sqrt{}{/tex}1 + 36 = {tex} \\sqrt{}{/tex}37AC = {tex} \\sqrt{}{/tex}(6 - 7)2\xa0+ (4 + 2)2\xa0= {tex} \\sqrt{}{/tex}\xa0(-1)2\xa0+ 62\xa0= {tex} \\sqrt{}{/tex}1 + 36 = {tex} \\sqrt{}{/tex}37\xa0as AB = ACTherefore the vertices A B C are\xa0of an isosceles triangle | |