MathDB
Problems
Contests
National and Regional Contests
India Contests
Postal Coaching
2012 Postal Coaching
1
1
Part of
2012 Postal Coaching
Problems
(1)
Geometric inequality - angle bisector configuration
Source: Indian Postal Coaching 2012 Set 1 #1
9/19/2013
Given a triangle
A
B
C
ABC
A
BC
, the internal bisectors through
A
A
A
and
B
B
B
meet the opposite sides in
D
D
D
and
E
E
E
, respectively. Prove that DE \le (3 - 2\sqrt2)(AB + BC + CA) and determine the cases of equality.
inequalities
inequalities unsolved