# A triangle has sides A, B, and C. Sides A and B are of lengths 6 and 4, respectively, and the angle between A and B is (pi)/2 . What is the length of side C?

Mar 20, 2016

sqrt52 ≈ 7.211

#### Explanation:

Since the angle between A and B is a right angle $\frac{\pi}{2}$
Then we can use $\textcolor{b l u e}{\text{ Pythagoras' theorem }}$

The side C is the hypotenuse and so ${C}^{2} = {A}^{2} + {B}^{2}$

$\Rightarrow {C}^{2} = {6}^{2} + {4}^{2} = 36 + 16 = 52$

now  C^2 = 52 rArr C = sqrt52 ≈ 7.211