# A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 3, respectively. The angle between A and C is (pi)/2 and the angle between B and C is  (pi)/3. What is the area of the triangle?

Apr 21, 2016

The described arrangement is impossible.

#### Explanation:

If the angle between A and C is $\frac{\pi}{2}$
then the triangle is a right triangle with side B the hypotenuse.

The hypotenuse of a triangle must be longer than either of the other two sides.

...but we are told $A = 4$ and $B = 3$