# A triangle has sides A, B, and C. Sides A and B have lengths of 3 and 8, respectively. The angle between A and C is #(pi)/12# and the angle between B and C is # (5pi)/6#. What is the area of the triangle?

##### 1 Answer

Dec 14, 2015

No such triangle is possible.

#### Explanation:

If the angle between B and C is

Assuming the values for the lengths of A and B have been accidentally switched doesn't work either.

and

(since the interior angles of a triangle must add up to

But then we would have 2 sides of a triangle (B and C) whose length was less than the third side (A), which is clearly impossible.