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Problems
Contests
National and Regional Contests
India Contests
Postal Coaching
2005 Postal Coaching
5
5
Part of
2005 Postal Coaching
Problems
(1)
Find the triangles
Source: Indian Postal Coaching 2005
9/22/2005
Characterize all triangles
A
B
C
ABC
A
BC
s.t.
A
I
a
:
B
I
b
:
C
I
c
=
B
C
:
C
A
:
A
B
AI_a : BI_b : CI_c = BC: CA : AB
A
I
a
:
B
I
b
:
C
I
c
=
BC
:
C
A
:
A
B
where
I
a
I_a
I
a
etc. are the corresponding excentres to the vertices
A
,
B
,
C
A, B , C
A
,
B
,
C
trigonometry
quadratics
geometry
angle bisector
algebra
geometry solved