# A triangle has sides A,B, and C. If the angle between sides A and B is #(pi)/3#, the angle between sides B and C is #pi/6#, and the length of B is 15, what is the area of the triangle?

##### 2 Answers

this is a 30-60-90 angle triangle .

length of hypoteneuse is given that is

using trignometry

Area of

#### Explanation:

We know that

If side B touches both the 30-degree angle and the 60-degree angle, then side B is opposite the 90-degree angle and is the hypotenuse of the triangle.

Since we know that the sides of a 30-60-90 triangle follow the pattern

Now that we know the base and height of the triangle, we can find the area.