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Junior Regional Olympiad - FBH 2015 Grade 6 Problem 3
Junior Regional Olympiad - FBH 2015 Grade 6 Problem 3
Source:
October 1, 2018
geometry
median
Problem Statement
Let
A
D
AD
A
D
be a median of
A
B
C
ABC
A
BC
and
S
S
S
its midpoint. Let
E
E
E
be a intersection point of
A
B
AB
A
B
and
C
S
CS
CS
. Prove that
B
E
=
2
A
E
BE=2AE
BE
=
2
A
E
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