2. Calculate the sides of the right angled triangle

The points \(A(7,10)\), \(B(-2,5)\) and \(C(3,-4)\) in order are the vertices of a right-angled triangle. The right-angled triangle satisfies the ${\mathit{AB}}^2+{\mathit{BC}}^2={\mathit{AC}}^2$. Verify this and calculate the side of the triangle using the distance formula.

 

 

\(AB =\) $\sqrt{i}$.