Difference between revisions of "1985 OIM Problems/Problem 2"
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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 11:30, 13 December 2023
Problem
Let 
be a point in the interior of equilateral triangle 
such that:
![\[PA=5,\;PB=7,\; and \; PC=8\]](http://latex.artofproblemsolving.com/d/a/6/da6667e0d97ec0389974191bbe91ab057c9df9db.png)
Find the length of one side of the triangle
Solution
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