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1991 USAMO Problems/Problem 1

Revision as of 19:28, 13 January 2008 by ZzZzZzZzZzZz (talk | contribs) (New page: == Problem == In triangle <math>ABC</math>, angle <math>A</math> is twice angle <math>B</math>, angle <math>C</math> is obtuse, and the three side lengths <math>a, b, c</math> are integer...)
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Problem

In triangle $ABC$, angle $A$ is twice angle $B$, angle $C$ is obtuse, and the three side lengths $a, b, c$ are integers. Determine, with proof, the minimum possible perimeter.

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