# 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 55, what is the area of the triangle?

Mar 1, 2016

≈ 405.268 square units

#### Explanation:

Since the angle between A and B is$\frac{\pi}{2} \text{ this is a right triangle with C ,the hypotenuse }$
area of triangle = $\frac{1}{2} A B$
Require to find A. This can be done using basic tangent ratio.

 tan(pi/12) = A/B rArr A = Btan(pi/12) = 55tan(pi/12) ≈ 14.737

$\Rightarrow \text{ area " = 1/2xx55xx14.737 ≈ 405.268" square units }$