Difference between revisions of "2001 IMO Shortlist Problems/G2"
(New page: == Problem == Consider an acute-angled triangle <math>ABC</math>. Let <math>P</math> be the foot of the altitude of triangle <math>ABC</math> issuing from the vertex <math>A</math>, and le...) |
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== Solution == | == Solution == | ||
| − | + | See 2001 IMO 1 page. | |
| + | https://artofproblemsolving.com/wiki/index.php/2001_IMO_Problems/Problem_1 | ||
== Resources == | == Resources == | ||
Latest revision as of 15:06, 17 March 2022
Problem
Consider an acute-angled triangle 
. Let 
be the foot of the altitude of triangle issuing from the vertex 
, and let 
be the circumcenter of triangle . Assume that 
. Prove that 
.
Solution
See 2001 IMO 1 page. https://artofproblemsolving.com/wiki/index.php/2001_IMO_Problems/Problem_1
