distance from point p to longest side h is less than or equal to s/\sqrt3
Source: Norwegian Mathematical Olympiad 2013 - Abel Competition p2
September 4, 2019
distancecombinatorial geometrycombinatoricsgeometry
Problem Statement
In a triangle , all the angles are less than , and the longest side has length . Show that for every point in we can pick a corner in such that the distance from to is less than or equal to .