InterviewSolution
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InterviewSolution
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Show that points A(3,-1) , B(-1 , 2) and C (6,3) form an isosceles right -angled triangle when joined . |
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Answer» Given , A = (3 , -1) , B(-1, 2) and C = (6,3). AB = `sqrt((-1-3)^(2) + (2+1)^(2)) = 5` units BC = `sqrt((6-(-1))^(2) + (3-2)^(2)) = sqrt(50) `units AC = `sqrt((6-3)^(2) + (3-(-1))^(2)) = 5 ` units Clearly , `BC^(2) = AB^(2) + AC^(2)` . Also , AB = AC. Hence , the given points from the vertices of a right-angled isosceles triangle . |
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