# A triangle has sides A, B, and C. Sides A and B are of lengths 4 and 7, respectively, and the angle between A and B is (pi)/2 . What is the length of side C?

Jul 2, 2016

Here is a diagram.

#### Explanation:

This triangle is right--hence, we can use pythagorean theorem.

${a}^{2} + {b}^{2} = {c}^{2}$

${4}^{2} + {7}^{2} = {c}^{2}$

$16 + 49 = {c}^{2}$

$65 = {c}^{2}$

$\sqrt{65} = c$

Thus, the length of side $C$ is $\sqrt{65}$ units.

Hopefully this helps!