2001 USAMO Problems/Problem 4: Difference between revisions
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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== See also == | == See also == | ||
{{USAMO newbox|year=|num-b=3|num-a=5}} | {{USAMO newbox|year=2001|num-b=3|num-a=5}} | ||
[[Category:Olympiad Geometry Problems]] | [[Category:Olympiad Geometry Problems]] | ||
Revision as of 01:37, 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
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2001 USAMO (Problems • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
