max ratio of largest side to inradii in triangle
Source: 2015 XVIII All-Ukrainian Tournament of Young Mathematicians named after M. Y. Yadrenko, Qualifying p20
May 7, 2021
geometryratioinradiigeometric inequalityUkrainian TYM
Problem Statement
What is the smallest value of the ratio of the lengths of the largest side of the triangle to the radius of its inscribed circle?