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

(Created page with "== Problem == Let <math>P</math> be a point in the interior of equilateral triangle <math>ABC</math> such that: <math></math>PA=5,\;PB=7,\;<math> and </math>\;PC=8<math></math...")
 
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== Problem ==
 
== Problem ==
 
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:
<math></math>PA=5,\;PB=7,\;<math> and </math>\;PC=8<math></math>
+
<cmath>PA=5,\;PB=7,\; and\ ;PC=8</cmath>
  
 
== 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: \[PA=5,\;PB=7,\; and\ ;PC=8\]

Solution

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