1987 AIME Problems/Problem 2
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Problem
What is the largest possible distance between two points, one on the sphere of radius 19 with center and the other on the sphere of radius 87 with center ?
Solution
The distance between the two centers of the spheres can be determined via the distance formula in three dimensions: . The largest possible distance would be the sum of the two radii and the distance between the two centers, making it .
See also
1987 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
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