# If sides A and B of a triangle have lengths of 5 and 3 respectively, and the angle between them is (pi)/12, then what is the area of the triangle?

May 24, 2016

1.94squnit

#### Explanation:

We know that area of a triangle is given by the formula
Area$\left(\Delta\right) = \frac{1}{2} \times A \times B \times \sin \theta$

Where
$\text{Lenngth of one side} \left(A\right) = 5$
$\text{ Lenngth of other side} \left(B\right) = 3$
$\text{Angle between them} \left(\theta\right) = \frac{\pi}{12}$

$\therefore \Delta = \frac{1}{2} \cdot 5 \cdot 3 \cdot \sin \left(\frac{\pi}{12}\right) = 1.94$sq.unit