# 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"#