Difference between revisions of "1982 USAMO Problems/Problem 5"
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Revision as of 23:17, 18 July 2016
Problem
, and 
are three interior points of a sphere 
such that 
and 
are perpendicular to the diameter of through 
, and so that two spheres can be constructed through , 
, and which are both tangent to . Prove that the sum of their radii is equal to the radius of .
Solution
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See Also
| 1982 USAMO (Problems • Resources) | ||
| Preceded by Problem 4 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
