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Indonesia Regional
Indonesia Regional MO OSP SMA - geometry
2019.1
2019.1
Part of
Indonesia Regional MO OSP SMA - geometry
Problems
(1)
Easy 3D geometry problem
Source: Indonesia Province Level Olympiad
4/30/2019
Given cube
A
B
C
D
.
E
F
G
H
ABCD.EFGH
A
BC
D
.
EFG
H
with
A
B
=
4
AB = 4
A
B
=
4
and
P
P
P
midpoint of the side
E
F
G
H
EFGH
EFG
H
. If
M
M
M
is the midpoint of
P
H
PH
P
H
, find the length of segment
A
M
AM
A
M
.
geometry
3D geometry