compare shortest median vs longest bisectrix, shortest bis.vs longest altitude
Source: 2011 Sharygin Geometry Olympiad Correspondence Round P17
April 6, 2019
geometrymedianbisectorComparegeometric inequality
Problem Statement
a) Does there exist a triangle in which the shortest median is longer that the longest bisectrix?
b) Does there exist a triangle in which the shortest bisectrix is longer that the longest altitude?