Difference between revisions of "2002 OIM Problems/Problem 3"
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== Problem == | == Problem == | ||
| − | A point <math>P</math> is interior to the equilateral triangle <math>ABC</math> and satisfies that <math>\angle APC = 120^{\circ}. Let < | + | A point <math>P</math> is interior to the equilateral triangle <math>ABC</math> and satisfies that <math>\angle APC = 120^{\circ}</math>. Let <math>M</math> be the intersection of <math>CP</math> with <math>AB</math> and <math>N</math> be the intersection of <math>AP</math> with <math>BC</math>. Find the locus of the circumcenter of the triangle <math>MBN</math> by varying <math>P</math>. |
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
Latest revision as of 04:41, 14 December 2023
Problem
A point 
is interior to the equilateral triangle 
and satisfies that 
. Let 
be the intersection of 
with 
and 
be the intersection of 
with 
. Find the locus of the circumcenter of the triangle 
by varying .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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