# If sides A and B of a triangle have lengths of 2 and 1 respectively, and the angle between them is (11pi)/12, then what is the area of the triangle?

Mar 13, 2016

$0.2588$

#### Explanation:

Given two sides $b$ and $c$ and included angle $A$ between them,

area of a triangle is given by $\frac{1}{2} \times b \times c \times \sin A$

Hence area of triangle would be $\frac{1}{2} \times 2 \times 1 \times \sin \left(\frac{11 \pi}{12}\right)$

or $\sin \left(\frac{11 \pi}{12}\right) = 0.2588$