Question

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

Answer 1

Let A(3, 0), B (6, 4) and C(-1, 3) be the given points

⇒ AC=√ (16+9)

⇒ AC=√(25)

⇒ AB2=(√25)2

⇒ AB2=25

⇒ AC2=25

⇒ BC2=(√50)2

⇒ BC2=50

Since AB2+AC2=BC2 and AB=AC

∴ ABC is a right angled isosceles triangle