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InterviewSolution
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Check weather (5,-2)(6,4)and(7,-2)are vertices of isosceles triangle |
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Answer» Let the points (5, - 2), (6, 4), and (7, - 2) are representing the vertices A, B, and C of the given triangle respectively.AB = {tex}\\;\\sqrt{{(5-6)}^2+\\;(-2-4)^2}\\;=\\;\\sqrt{(-1)^2\\;+\\;(-6)^2}\\;=\\;\\sqrt{1\\;+36\\;}\\;=\\sqrt{37}{/tex}BC = {tex}\\;\\sqrt{{(6-7)}^2+\\;(4\\;-\\;(-2))^2}\\;=\\;\\sqrt{(-1)^2\\;+\\;(6)^2}\\;=\\;\\sqrt{1\\;+36\\;}\\;=\\sqrt{37}{/tex}CA = {tex}\\;\\sqrt{{(5-7)}^2+\\;(-2)\\;-\\;(-2))^2}\\;=\\;\\sqrt{(-2)^2\\;+\\;(0)^2}\\;=\\;\\sqrt{4\\;}\\;=2{/tex}Therefore, AB = BCAs two sides are equal in length, therefore, ABC is an isosceles triangle. Ya, they are verticies of an isosceles triangle....., its ncert question, yu can check the solution in this app.......... |
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