Show that the points (7,10); (-2,5) and (3,-4) are the vertices of an isosceles triangle.
And no links please

Dear Student,

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.

Regards