2022 AIME I Problems/Problem 10
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Problem
Three spheres with radii 
, 
, and 
are mutually externally tangent. A plane intersects the spheres in three congruent circles centered at 
, 
, and 
, respectively, and the centers of the spheres all lie on the same side of this plane. Suppose that 
. Find 
.
See Also
| 2022 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
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