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2001 USAMO Problems/Problem 4

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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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See also

2001 USAMO (Problems • Resources: AoPS | ML)
Preceded by
Problem 3
1 2 3 4 5 6 Followed by
Problem 5
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