Question

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?

Answer 1

`0.2588`

Explanation:

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

area of a triangle is given by `1/2xxbxxcxxsinA`

Hence area of triangle would be `1/2xx2xx1xxsin((11pi)/12)`

or `sin((11pi)/12)=0.2588`