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 #
