# A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 8, respectively. The angle between A and C is #(pi)/2# and the angle between B and C is # (pi)/3#. What is the area of the triangle?

##### 1 Answer

Feb 12, 2016

≈ 15.6

#### Explanation:

since the angle between A and C is

# pi/2 #

then triangle ABC is right , with hypotenuse B.the area is therefore

# 1/2AC# To find C , use Pythagoras' Theorem.

# C = sqrt( 8^2 - 5^2) = sqrt(64 - 25) = sqrt39# hence area =

# 1/2 xx 5 xx sqrt39 ≈ 15.6 #