Difference between revisions of "1966 IMO Problems/Problem 2"

Revision as of 04:42, 14 October 2013

Let $A$ , $B$ , and $C$ be the lengths of the sides of a triangle, and $\alpha,\beta,\gamma$ respectively, the angles opposite these sides.

$a+b=\tan{\frac{\gamma}{2}}(a\tan{\alpha}+b\tan{\beta})$

Prove that if the triangle is isosceles.

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 Prove that if the triangle is isosceles.
+==Solution==
+{{solution}}
+==See Also==
+{{IMO box|year=1966|num-b=1|num-a=3}}

1966 IMO (Problems) • Resources
Preceded by Problem 1	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 3
All IMO Problems and Solutions