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2016 Latvia National Olympiad 3rd Round Grade9Problem2
2016 Latvia National Olympiad 3rd Round Grade9Problem2
Source:
July 22, 2016
geometry
Problem Statement
Triangle
A
B
C
ABC
A
BC
has median
A
F
AF
A
F
, and
D
D
D
is the midpoint of the median. Line
C
D
CD
C
D
intersects
A
B
AB
A
B
in
E
E
E
. Prove that
B
D
=
B
F
BD = BF
B
D
=
BF
implies
A
E
=
D
E
AE = DE
A
E
=
D
E
!
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