Difference between revisions of "2001 USAMO Problems/Problem 4"
(New page: == Problem == Let <math>P</math> be a point in the plane of triangle <math>ABC</math> such that the segments <math>PA</math>, <math>PB</math>, and <math>PC</math> are the sides of an obtu...) |
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Revision as of 01:36, 21 December 2008
Problem
Let 
be a point in the plane of triangle 
such that the segments 
, 
, and 
are the sides of an obtuse triangle. Assume that in this triangle the obtuse angle opposes the side congruent to . Prove that 
is acute.
Solution
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See also
| USAMO (Problems • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
