Q21 of 77 Page 7

Prove that the points (7, 10), ( - 2, 5) and (3, - 4) are the vertices of an isosceles right triangle.

Given: Points (7, 10), ( - 2, 5) and (3, - 4).


To prove: The points are vertices of the right isosceles triangle.


Formula Used:


The distance between the points (x1, y1) and (x2, y2) is:


Distance =


Explanation:


Vertices of a quadrilateral are A (7, 10), B( - 2, 5) and C(3, - 4)
Using distance formula =





Since AB = BC


Using Pythagoras theorem


AC2 = AB2 + BC2



212 = 106 + 106


212 = 212


Therefore, vertices are of right isosceles triangle.


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