# A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 8, respectively. The angle between A and C is (5pi)/24 and the angle between B and C is  (5pi)/24. What is the area of the triangle?

Jun 16, 2016

Such a triangle cannot exists.

#### Explanation:

If the angle between A and C is equal to the angle between B and C it means that the triangle is isosceles with two equal sides that are the sides connected to the same angles. In this case A and B.
So A and B must have the same length, but this is not the case because they are 7 and 8.

Such a triangle cannot exists.

As you can see from the image the lines starting with the same angles from a segment C meets in a symmetric point, then the two segment A and B cannot have different lengths.