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Poland Contests
Polish MO Finals
1957 Polish MO Finals
6
6
Part of
1957 Polish MO Finals
Problems
(1)
distance of 2 lines in a cube
Source: Polish MO Finals 1957 p6
8/29/2024
A cube is given with base
A
B
C
D
ABCD
A
BC
D
, where
A
B
=
a
AB = a
A
B
=
a
cm. Calculate the distance of the line
B
C
BC
BC
from the line passing through the point
A
A
A
and the center
S
S
S
of the face opposite the base.
geometry
3D geometry
cube