# If sides A and B of a triangle have lengths of 3 and 7 respectively, and the angle between them is (2pi)/3, then what is the area of the triangle?

##### 1 Answer
Dec 13, 2015

$9 , 093$ square units

#### Explanation:

We may use the area rule :

Area triangle $A B C = \frac{1}{2} a b \sin C$

$= \frac{1}{2} \times 3 \times 7 \times \sin \left(\frac{2 \pi}{3}\right)$

$= 9 , 093$ square units