# If sides A and B of a triangle have lengths of 8 and 6 respectively, and the angle between them is #(7pi)/8#, then what is the area of the triangle?

##### 1 Answer

Feb 11, 2016

≈ 9.84 square units

#### Explanation:

Given a triangle with 2 sides and the angle between them known the area of the triangle can be calculated using :

# area = 1/2ABsintheta # where

# thetacolor(black)(" is the angle between the 2 sides ")# here A = 8 , B = 6 and

# theta =(7pi)/8 # hence area =

# 1/2 xx 8 xx 6 xx sin((7pi)/8) ≈9.84 #