# A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/12# and the angle between sides B and C is #pi/6#. If side B has a length of 17, what is the area of the triangle?

##### 1 Answer

The area is 144.5.

#### Explanation:

let's first switch to standard notation. Sides are denotes a, b and c and the angle of the vertex opposite the sides are denotes A, B and C.

The question then becomes, what is the area of the triangle where

The best equation for the areas in

To calculate angle B we use the fact that

Using the sine rule:

This gives:

So the areas is:

Now

So: