MathDB
Problems
Contests
International Contests
JBMO ShortLists
2002 JBMO ShortLists
9
9
Part of
2002 JBMO ShortLists
Problems
(1)
Angles in a triangle
Source: JBMO Shortlist 2002
11/12/2008
In triangle
A
B
C
,
H
,
I
,
O
ABC,H,I,O
A
BC
,
H
,
I
,
O
are orthocenter, incenter and circumcenter, respectively.
C
I
CI
C
I
cuts circumcircle at
L
L
L
. If AB\equal{}IL and AH\equal{}OH, find angles of triangle
A
B
C
ABC
A
BC
.
geometry
incenter
circumcircle
geometry proposed