Difference between revisions of "1991 OIM Problems/Problem 6"

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== Solution ==
 
== Solution ==
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* Note.  I actually competed at this event in Argentina when I was in High School representing Puerto Rico.  I think I may have been able to build some cases of this.  I don't remember much of it.
 
* Note.  I actually competed at this event in Argentina when I was in High School representing Puerto Rico.  I think I may have been able to build some cases of this.  I don't remember much of it.
  
{{solution}}
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{{Alternate solutions}}
  
 
== See also ==
 
== See also ==
 
https://www.oma.org.ar/enunciados/ibe6.htm
 
https://www.oma.org.ar/enunciados/ibe6.htm

Revision as of 18:01, 22 December 2023

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

  • Note. I actually competed at this event in Argentina when I was in High School representing Puerto Rico. I think I may have been able to build some cases of this. I don't remember much of it.

Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.

See also

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