12. Five marks exercise problems VI

\(A(-3, 2)\), \(B(3, 2)\) and \(C(-3, -2)\) are the vertices of the right triangle, right angled at \(A\). Show that the mid-point of the hypotenuse is equidistant from the vertices.

 

Proof:

 

Mid-point of \(BC\) \(=\) \(O\) \(=\) $\left(i,i\right)$

 

\(OA\) \(=\) $\sqrt{i}$