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.