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1991 OIM Problems/Problem 6

Revision as of 13:51, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Given 3 non-aligned points <math>M</math>, <math>N</math> and <math>P</math>, we know that <math>M</math> and <math>N</math> are midpoints of two sides of a tria...")
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Problem

Given 3 non-aligned points $M$, $N$ and $P$, we know that $M$ and $N$ are midpoints of two sides of a triangle and that $P$ is the point of intersection of the heights of said triangle. Build the triangle.

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

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://www.oma.org.ar/enunciados/ibe6.htm

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