# A triangle has sides A, B, and C. Sides A and B are of lengths 1 and 1, respectively, and the angle between A and B is (pi)/2 . What is the length of side C?

Jan 2, 2016

C has length= $\sqrt{2}$

#### Explanation:

As it is a right-angled triangle ($\frac{\pi}{2} = 90$) you can use Pythagoras' Theorem.
Pythagorus' Theorem states that ${a}^{2} + {b}^{2} = {c}^{2}$ Where c is the hypotenuse of a right angled triangle.

${c}^{2} = {1}^{2} + {1}^{2}$
${c}^{2} = 2$
$c = \sqrt{2}$