# A triangle has sides A, B, and C. Sides A and B are of lengths 15 and 7, respectively, and the angle between A and B is (pi)/2 . What is the length of side C?

The length of side $C = 16.55 \left(2 \mathrm{dp}\right) u n i t$
The sides A=15 ; B=7 and their included angle $\angle c = \frac{\pi}{2} = {90}^{0}$ are given. This is a right angled triangle of which sides are $A \mathmr{and} B$ and hypotenuse is $C$
Hence by Pythagorus theorm we know ${A}^{2} + {B}^{2} = {C}^{2} \mathmr{and} {C}^{2} = {15}^{2} + {7}^{2} = 274 \therefore C = \sqrt{274} = 16.55 \left(2 \mathrm{dp}\right) u n i t$[Ans]