For which acute-angled triangles is the ratio of the smallest side to the inradius the maximum?
Problem
Source: 1999 France MO P3
Tags: ratio, geometry, Triangles, inradius, Geometric Inequalities
Source: 1999 France MO P3
Tags: ratio, geometry, Triangles, inradius, Geometric Inequalities
For which acute-angled triangles is the ratio of the smallest side to the inradius the maximum?