MathDB
IberoAmerican 1988.3

Source: From Kalva page; looking for a nice solution

October 31, 2006
geometryperimeterconicsellipsegeometry unsolved

Problem Statement

Prove that among all possible triangles whose vertices are 3,53,5 and 77 apart from a given point PP, the ones with the largest perimeter have PP as incentre.
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