# 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?

##### 1 Answer

Mar 1, 2016

≈ 405.268 square units

#### Explanation:

Since the angle between A and B is

# pi/2" this is a right triangle with C ,the hypotenuse "#

area of triangle =#1/2AB#

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#

#rArr " area " = 1/2xx55xx14.737 ≈ 405.268" square units "#