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

(Problem)
(Problem)
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Let <math>P</math> be a point in the interior of equilateral triangle <math>ABC</math> such that:
 
Let <math>P</math> be a point in the interior of equilateral triangle <math>ABC</math> such that:
 
<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>
  
 
== Solution ==
 
== Solution ==
 
{{solution}}
 
{{solution}}

Revision as of 12:30, 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 $ABC$

Solution

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