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Q35 of 66 Page 7

Prove that the points (7, 10), (-2, 5) and (3, -4) are the vertices of an isosceles right triangle.(CBSE 2012, 13)

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

Using distance formula =

AB = = = units

BC = = = units

AC = = = units

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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