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2012 OIM Problems/Problem 1

Revision as of 14:39, 14 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Equilateral triangles <math>BCX</math> and <math>DCY</math> are drawn on a rectangle <math>ABCD</math> so that each one shares points with the interior of the re...")
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Problem

Equilateral triangles $BCX$ and $DCY$ are drawn on a rectangle $ABCD$ so that each one shares points with the interior of the rectangle. Line $AX$ cuts line $CD$ at $P$. Line $AY$ cuts line $BC$ at $Q$. Prove that the triangle $APQ$ is equilateral.

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

Solution

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See also

OIM Problems and Solutions

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