Trigonometry! #53

Geometry Level 2

Two sides of a triangle, aa and bb, are given by the roots of the equation x223x+2=0x^{2} - 2\sqrt{3}x + 2 = 0. The angle between the sides is π3\frac {\pi}{3}. Find the value of c2c^{2}.

This problem is part of the set Trigonometry.

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