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1987 AIME Problems
2
2
Part of
1987 AIME Problems
Problems
(1)
Maximum distance between spheres
Source:
3/15/2006
What is the largest possible distance between two points, one on the sphere of radius 19 with center
(
−
2
,
−
10
,
5
)
(-2, -10, 5)
(
−
2
,
−
10
,
5
)
and the other on the sphere of radius 87 with center
(
12
,
8
,
−
16
)
(12, 8, -16)
(
12
,
8
,
−
16
)
?
geometry
3D geometry
sphere
inequalities
triangle inequality