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Paraguay Mathematical Olympiad
2011 Paraguay Mathematical Olympiad
2
2
Part of
2011 Paraguay Mathematical Olympiad
Problems
(1)
Distance of midpoints
Source: 0
8/31/2014
In a triangle
A
B
C
ABC
A
BC
, let
D
D
D
and
E
E
E
be the midpoints of
A
C
AC
A
C
and
B
C
BC
BC
respectively. The distance from the midpoint of
B
D
BD
B
D
to the midpoint of
A
E
AE
A
E
is
4.5
4.5
4.5
. What is the length of side
A
B
AB
A
B
?
ratio
vector
geometry
similar triangles