Show that the points A(7,10), B(-2,5) and C(3,-4) are the vertices of an isoceles right-angled triangle.

** Given that**: The points A (7, 10), B(-2, 5) and C(3, -4)

** To prove:** A, B and C are the vertices of an isosceles right angled triangle

** Construction: **join AB, BC and CA.

** Proof:** The distance between AB,

The distance between BC,

And, the distance between CA,

Hence,

Is right angled and it is right angled at B.

Also, is isosceles.

Hence, is a right angled isosceles triangle.

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