# If sides A and B of a triangle have lengths of 7 and 5 respectively, and the angle between them is (3pi)/4, then what is the area of the triangle?

Dec 31, 2015

Area = $12.38$ Units

#### Explanation:

We know the Area of triangle where two sides and their included angle are given, is equal to $\left(S i \mathrm{de} 1 \cdot S i \mathrm{de} 2 \cdot \sin \frac{C}{2}\right)$ Where C is expressed in Radians.
:. Area = 7*5*sin(3*pi/4)/2 or 7*5*sin(2.356)/2 or Area = 12.38 [Answer]