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.

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