Q9 of 149 Page 14

Prove that the points (3, 0), (6, 4) and (- 1, 3) are vertices of a right-angled isosceles triangle.

Vertices of a triangle ABC are: A(3, 0), B(6, 4) and C (- 1, 3)


Length of side AB =


Length of side AB = = = units


Length of side BC = = = units


Length of side AC = = = units


Since AB = AC, therefore triangle is an isosceles.


BC2 = AB2 + AC2


(√50)2 = (√25)2 + (√25)2


50 = 25 + 25


50 = 50


Since BC2 = AB2 + AC2; therefore given triangle is right angled triangle.


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