Difference between revisions of "1985 OIM Problems/Problem 2"

(Problem)
Line 3: Line 3:
 
<cmath>PA=5,\;PB=7,\; and \; PC=8</cmath>
 
<cmath>PA=5,\;PB=7,\; and \; PC=8</cmath>
 
Find the length of one side of the triangle <math>ABC</math>
 
Find the length of one side of the triangle <math>ABC</math>
 +
 +
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
  
 
== Solution ==
 
== Solution ==
 
{{solution}}
 
{{solution}}
 +
 +
== See also ==
 +
https://www.oma.org.ar/enunciados/ibe1.htm

Revision as of 12:25, 13 December 2023

Problem

Let $P$ be a point in the interior of equilateral triangle $ABC$ such that: \[PA=5,\;PB=7,\; and \; PC=8\] Find the length of one side of the triangle $ABC$

~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/ibe1.htm