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 |