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2002 OIM Problems/Problem 3

Revision as of 03:41, 14 December 2023 by Tomasdiaz (talk | contribs)

Problem

A point $P$ is interior to the equilateral triangle $ABC$ and satisfies that $\angle APC = 120^{\circ}. Let$M$be the intersection of$CP$with$AB$and$N$be the intersection of$AP$with$BC$. Find the locus of the circumcenter of the triangle$MBN$by varying$P$.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

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See also

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