# A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 3, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?

##### 1 Answer

Jun 21, 2017

#### Explanation:

#"the area of this triangle can be calculated using"#

#• " area "=A.B.sin("angle between A and B")#

#"angle between A and B " = pi-((11pi)/24+(5pi)/24)=pi/3#

#rArr"area "=5xx3xxsin(pi/3)~~12.99" square units"#