Difference between revisions of "2006 AIME I Problems/Problem 14"
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Revision as of 10:13, 10 October 2007
Problem
A tripod has three legs each of length 5 feet. When the tripod is set up, the angle between any pair of legs is equal to the angle between any other pair, and the top of the tripod is 4 feet from the ground In setting up the tripod, the lower 1 foot of one leg breaks off. Let 
be the height in feet of the top of the tripod from the ground when the broken tripod is set up. Then can be written in the form 
where 
and 
are positive integers and is not divisible by the square of any prime. Find 
(The notation 
denotes the greatest integer that is less than or equal to 
)
Solution
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
We have 2 tetrahedron, and we are trying to find the height of the smaller one.
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2006 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
