sum of distances >= 4S^2/ 9R^2
Source: 2011 XIV All-Ukrainian Tournament of Young Mathematiciansm Qualifying p9
May 12, 2021
geometrygeometric inequalityUkrainian TYM
Problem Statement
Prove that for any interior point of a triangle the sum of squares of distances from it to the sides of a triangle is not less than . [hide=about S,R]they are not defined, but I suppose they mean it's area and circumradii respectively