Trigonometry! #53

Geometry Level 2

Two sides of a triangle, $a$ and $b$, are given by the roots of the equation $x^{2} - 2\sqrt{3}x + 2 = 0$. The angle between the sides is $\frac {\pi}{3}$. Find the value of $c^{2}$.

This problem is part of the set Trigonometry.

×