The answer is $\frac{AB}{2\tan\frac{\angle C}{2}}$. Hint: the altitude from $C$ to $AB$ is also the angle bisector of $\angle C$ and the midpoint of $AB$.
– user236182Jan 05 '16 at 20:45
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AB/2tan(∠C/2) should be the answer! The altitude is the angle bisector