# 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?

##### 1 Answer

Feb 9, 2016

# C = sqrt117 ≈ 10.8#

#### Explanation:

since the angle between A and B is

# 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 #