# A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/3# and the angle between sides B and C is #pi/6#. If side B has a length of 18, what is the area of the triangle?

##### 1 Answer

The area of the triangle is

#### Explanation:

Let's call "c" the angle (

For it is a triangle,

Then

(Because of

In a right triangle it is valid the following statement:

Applying the aforementioned expression

Now, to the formula of the triangles area:

(Since the angle between sides A and C is

Then