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2011 OIM Problems/Problem 4

Revision as of 15:55, 14 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Let <math>ABC</math> be an acute triangle, with <math>AC \ne BC</math>, and let <math>O</math> be its circumcenter. Let <math>P</math> and <math>Q</math> points...")
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Problem

Let $ABC$ be an acute triangle, with $AC \ne BC$, and let $O$ be its circumcenter. Let $P$ and $Q$ points such that $BOAP$ and $COPQ$ are parallelograms. Show that $Q$ is the orthocenter from $ABC4.

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

Solution

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See also

OIM Problems and Solutions

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