15. Calculate the sides of the right angled triangle

The points \(A(35,50)\), \(B(-10,25)\) and \(C(15,-20)\) 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.

 

 

\(AB =\) $\sqrt{i}$.