Geometric inequality - angle bisector configuration
Source: Indian Postal Coaching 2012 Set 1 #1
September 19, 2013
inequalitiesinequalities unsolved
Problem Statement
Given a triangle , the internal bisectors through and meet the opposite sides
in and , respectively. Prove that
DE \le (3 - 2\sqrt2)(AB + BC + CA)
and determine the cases of equality.