# A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/2# and the angle between sides B and C is #pi/12#. If side B has a length of 37, what is the area of the triangle?

##### 1 Answer

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#### Explanation:

A given angle is

Now we now that this triangle is a right triangle because it contains a 90º angle. Another given angle is

The tangent trigonometric function

And since

Now we can solve for A, the height of the triangle, and get:

Now we can find the area of our triangle by using the formula for the area of triangles and plugging in our values: