# A triangle has sides A,B, and C. If the angle between sides A and B is #(5pi)/12#, 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

The area of the triangle is

#### Explanation:

The angle between

So, the triangle is isoceles

The side

Therefore, the side

The area of the triangle is

#### Explanation:

Here's all the info we know (I found that last angle by subtracting all the other angles from

So, here's what we need to know for the area:

Once we find these values, we'll be able to use the formula

Let's work on finding the height,

To do that, we just need to use

Now we know the height, all that's left is to find the base, or

First, let's put all our info in a table:

length

Let's use *law of sines*

Now let's use our formula: