Question

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

Answer 1

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

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.