1966 IMO Problems/Problem 2
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Let 
, 
, and 
be the lengths of the sides of a triangle, and 
respectively, the angles opposite these sides.
![\[a+b=\tan{\frac{\gamma}{2}}(a\tan{\alpha}+b\tan{\beta})\]](http://latex.artofproblemsolving.com/a/7/0/a707cd7360756a01d3f6e17d4dff56bc3561a277.png)
Prove that if the triangle is isosceles.
