# A triangle has sides A,B, and C. If the angle between sides A and B is #(pi)/2#, the angle between sides B and C is #pi/12#, and the length of B is 4, what is the area of the triangle?

##### 1 Answer

Dec 21, 2016

The area of the triangle is:

#### Explanation:

This is a right triangle, where

In a right triangle the ratio between the legs equals the tangent of the angle opposite the leg at the numerator, so that we have:

or:

And the area is: