# A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/12# and the angle between sides B and C is #pi/12#. If side B has a length of 9, what is the area of the triangle?

##### 1 Answer

Oct 10, 2016

#### Explanation:

We can compute the third angle with the other two angles as the sum of the angles in a triangle is

#"Third angle"=180-(75+15)=180-90=90^circ#

As the triangle contains a

We need to find one more side to find the area of the triangle

So, we can use

#color(orange)(tan(theta)=("opposite") /(" hypotenuse")#

We can calculate the area of the triangle

#color(blue)("Area of triangle"=1/2*h*b#

Where,

#color(red)(h="height"=2.4#

#color(red)(b=base=9#