MathDB
2009 Geometry #6: Lattice Point Triangle

Source:

June 23, 2012
geometryanalytic geometryperimeterinradius

Problem Statement

Let ABCABC be a triangle in the coordinate plane with vertices on lattice points and with AB=1AB = 1. Suppose the perimeter of ABCABC is less than 1717. Find the largest possible value of 1/r1/r, where rr is the inradius of ABCABC.
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