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1973 USAMO
1
1
Part of
1973 USAMO
Problems
(1)
Two Points in Regular Tetrahedron
Source: 1973 USAMO Problem 1
3/7/2010
Two points
P
P
P
and
Q
Q
Q
lie in the interior of a regular tetrahedron
A
B
C
D
ABCD
A
BC
D
. Prove that angle
P
A
Q
<
6
0
ā
PAQ < 60^\circ
P
A
Q
<
6
0
ā
.
geometry
3D geometry
tetrahedron