# A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 5, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (7pi)/24#. What is the area of the triangle?

##### 1 Answer

Mar 15, 2018

**The triangle does not exist...**

Here's the area anyways:

#### Explanation:

Area of the triangle:

Let's determine angle C:

Area of the triangle:

How do I know this triangle particularly does not exist?

Well:

The law of sines states:

SinA/a= SinB/b

Therefore:

Since Angle B cannot be computed, this triangle does not exist