# A triangle has sides A, B, and C. Sides A and B are of lengths 2 and 8, respectively, and the angle between A and B is (pi)/2 . What is the length of side C?

Feb 11, 2016

C ≈ 8.25

#### Explanation:

since the angle between A and B is $\frac{\pi}{2}$

this makes it a right triangle , with C , the hypotenuse.

to find C then , use Pythagoras' Theorem

${C}^{2} = {2}^{2} + {8}^{2} = 4 + 64 = 68$

 rArr C = sqrt68 ≈ 8.25