Given a triangle ABC, the internal bisectors through A and B meet the opposite sides in D and E, respectively. Prove that DE≤(3−2√2)(AB+BC+CA) and determine the cases of equality.
Source: Indian Postal Coaching 2012 Set 1 #1
Tags: inequalities, inequalities unsolved
Given a triangle ABC, the internal bisectors through A and B meet the opposite sides in D and E, respectively. Prove that DE≤(3−2√2)(AB+BC+CA) and determine the cases of equality.