# A triangle has sides A, B, and C. Sides A and B are of lengths 2 and 3, respectively, and the angle between A and B is (pi)/2 . What is the length of side C?

Feb 13, 2016

$C = \sqrt{13}$

#### Explanation:

As the angle between A and B is $\frac{\pi}{2}$, it is right angled triangle and hence as per Pythagoras theorem

${C}^{2} = {A}^{2} + {B}^{2} = {2}^{2} + {3}^{2} = 4 + 9 = 13$

Hence $C = \sqrt{13}$.