# A triangle has sides A, B, and C. Sides A and B are of lengths 6 and 9, respectively, and the angle between A and B is (pi)/2 . What is the length of side C?

Feb 9, 2016

 C = sqrt117 ≈ 10.8

#### Explanation:

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

this makes this a right-angled triangle with C , being the hypotenuse.

Hence , use Pythagoras' Theorem to solve for C

 C^2 = A^2 + B^2 → C^2 = 6^2 + 9^2

${C}^{2} = 36 + 81 = 117$

 rArr C = sqrt117 ≈10.8