# A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 7, respectively. The angle between A and C is #(pi)/12# and the angle between B and C is # (2pi)/3#. What is the area of the triangle?

##### 1 Answer

Feb 10, 2016

Area is

#### Explanation:

Formula for area of a triangle in terms of its two sides is half the product of two sides multiplied by sine of the angle between the two sides.

Here we have sides A and B, but we do not know the angle between them.

Fr this, as sum of internal angles of a triangle is

third angle is

Hence, as

Area of triangle is

or

i.e.