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,


 Is right angled and it is right angled at B.

Also,  is isosceles.

Hence,  is a right angled isosceles triangle.

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