# A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/6# and the angle between sides B and C is #pi/12#. If side B has a length of 1, what is the area of the triangle?

##### 1 Answer

Sum of angles gives an isosceles triangle. Half of the enter side is calculated from

#### Explanation:

The sum of all triangles in degrees is

We notice that the angles

For the

To calculate half of the

Therefore, the area can be calculated via the area of the square formed, as shown in the following image:

Since we know that:

So, finally: