Difference between revisions of "1966 IMO Problems/Problem 2"
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Revision as of 07:45, 5 July 2011
Let , , and be the lengths of the sides of a triangle, and \[ a+b=\tan{\frac{\gamma}{2}}(a\tan{\alpha}+b\tan{\beta respectively, the angles opposite these sides.
Prove that if the triangle is isosceles.