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Revision as of 15:14, 25 November 2007
Problem
Let 
and 
be two faces of a cube with 
. A beam of light emanates from vertex 
and reflects off face at point 
, which is 7 units from 
and 5 units from 
. The beam continues to be reflected off the faces of the cube. The length of the light path from the time it leaves point until it next reaches a vertex of the cube is given by 
, where 
and 
are integers and is not divisible by the square of any prime. Find 
.
Solution
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See also
| 2002 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
