1984 USAMO Problems/Problem 3
Problem
,
,
,
, and
are five distinct points in space such that
, where
is a given acute angle. Determine the greatest and least values of
.
Solution
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See Also
| 1984 USAMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.