Difference between revisions of "2017 AIME II Problems/Problem 15"
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Revision as of 15:33, 23 March 2017
Problem
Tetrahedron 
has 
, 
, and 
. For any point 
in space, define 
. The least possible value of 
can be expressed as 
, where 
and 
are positive integers, and is not divisible by the square of any prime. Find 
.
Solution
See Also
| 2017 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
