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Poland Contests
Poland - Second Round
1957 Poland - Second Round
3
3
Part of
1957 Poland - Second Round
Problems
(1)
distnace of 2 points, cube related
Source: Polish MO second round 1957 p3
8/29/2024
Given a cube with edge
A
B
=
a
AB = a
A
B
=
a
cm. Point
M
M
M
of segment
A
B
AB
A
B
is distant from the diagonal of the cube, which is oblique to
A
B
AB
A
B
, by
k
k
k
cm. Find the distance of point
M
M
M
from the midpoint
S
S
S
of segment
A
B
AB
A
B
.
geometry
3D geometry