2001 USAMO Problems/Problem 4

Problem

Let $P$ be a point in the plane of triangle $ABC$ such that the segments $PA$ , $PB$ , and $PC$ are the sides of an obtuse triangle. Assume that in this triangle the obtuse angle opposes the side congruent to $PA$ . Prove that $\angle BAC$ is acute.

Solution

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2001 USAMO Problems/Problem 4

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