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 $BC$ $=$ $O$ $=$ $\left(i,i\right)$

 

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