Difference between revisions of "2004 AIME I Problems/Problem 9"
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Revision as of 16:06, 27 April 2008
Problem
Let 
be a triangle with sides 3, 4, and 5, and 
be a 6-by-7 rectangle. A segment is drawn to divide triangle into a triangle 
and a trapezoid 
and another segment is drawn to divide rectangle into a triangle 
and a trapezoid 
such that is similar to and is similar to 
The minimum value of the area of can be written in the form 
where 
and 
are relatively prime positive integers. Find 
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2004 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
