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National and Regional Contests
Bosnia Herzegovina Contests
JBMO TST - Bosnia and Herzegovina
2019 Bosnia and Herzegovina Junior BMO TST
2
2
Part of
2019 Bosnia and Herzegovina Junior BMO TST
Problems
(1)
JBMO TST Bosnia and Herzegovina Problem 2
Source:
7/7/2019
2.
2.
2.
Let
A
B
C
ABC
A
BC
be a triangle and
A
D
AD
A
D
the angle bisector (
D
ā
B
C
D\in BC
D
ā
BC
). The perpendicular from
B
B
B
to
A
D
AD
A
D
cuts the circumcircle of triangle
A
B
D
ABD
A
B
D
at
E
E
E
. If
O
O
O
is the center of the circle around
A
B
C
ABC
A
BC
, prove
A
,
O
,
E
A,O,E
A
,
O
,
E
are collinear.https://artofproblemsolving.com/community/c6h605458p3596629 https://artofproblemsolving.com/community/c6h1294020p6857833
geometry