15. Calculate the sides of the right angled triangle

The points \(A(28,40)\), \(B(-8,20)\) and \(C(12,-16)\) in order are the vertices of a Right-angled triangle. The Right-angled triangle satisfy the ${\mathit{AB}}^2+{\mathit{BC}}^2={\mathit{AC}}^2$. Verify this and calculate the side of the triangle using the distance formula.

 

 

\(AB =\) $\sqrt{i}$.