# A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 5, respectively. The angle between A and C is #(7pi)/8# and the angle between B and C is # (pi)/12#. What is the area of the triangle?

##### 1 Answer

Jul 20, 2017

#### Explanation:

#"the area ( A) of the triangle is calculated using"#

#•color(white)(x)A=1/2ABsinC#

#"where " C" is the angle between A and B"#

#rArrangleC=pi-((7pi)/8+pi/12)=pi/24#

#rArrA=1/2xx4xx5xxsin(pi/24)#

#color(white)(rArrA)~~1.305" square units"#