# If sides A and B of a triangle have lengths of 4 and 2 respectively, and the angle between them is #(7pi)/12#, then what is the area of the triangle?

##### 1 Answer

Jan 24, 2016

3.86 square units

#### Explanation:

When given 2 sides and the angle between them, of a triangle.

the formula ;

# A = 1/2 ab sintheta # where a and b are length of sides and

#theta# the angle between

them, will enable the area to be calculated.here a = 4 , b = 2 and

# theta = (7pi)/12 #

# rArr A = 1/2 xx4 xx 2 xx sin((7pi)/12) = 3.86#