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Moscow Mathematical Olympiad
1954 Moscow Mathematical Olympiad
271
271
Part of
1954 Moscow Mathematical Olympiad
Problems
(1)
MMO 271 Moscow MO 1954 AB=CD=8, AC=BD=10, AD=BC=13 in space
Source:
8/13/2019
Do there exist points
A
,
B
,
C
,
D
A, B, C, D
A
,
B
,
C
,
D
in space, such that
A
B
=
C
D
=
8
,
A
C
=
B
D
=
10
AB = CD = 8, AC = BD = 10
A
B
=
C
D
=
8
,
A
C
=
B
D
=
10
, and
A
D
=
B
C
=
13
AD = BC = 13
A
D
=
BC
=
13
?
3D geometry
distance
geometry
geometric inequality