A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 12, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (pi)/8#. What is the area of the triangle?
1 Answer
Feb 21, 2016
≈ 29 square units
Explanation:
The area of the triangle can be found by using
#1/2ABsintheta#
where#theta" is the angle between A and B "# The sum of the 3 angles in a triangle is
#pi# The angle between A and B =
#pi - ((11pi)/24 + pi/8 )#
#= pi - (14pi)/24 = (5pi)/12 # area =
#1/2xx5xx12xxsin((5pi)/12) ≈ 29" square units"#
