Find the maximum possible value of the inradius of a triangle whose vertices lie in the interior, or on the boundary, of a unit square.
Problem
Source: Bulgarian IMO TST 2004, Day 1, Problem 3
Tags: geometry, inradius, geometry proposed
Source: Bulgarian IMO TST 2004, Day 1, Problem 3
Tags: geometry, inradius, geometry proposed
Find the maximum possible value of the inradius of a triangle whose vertices lie in the interior, or on the boundary, of a unit square.