Difference between revisions of "2004 AIME I Problems/Problem 9"
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== Solution == | == Solution == | ||
+ | {{solution}} | ||
== See also == | == See also == | ||
+ | * [[2004 AIME I Problems/Problem 8| Previous problem]] | ||
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+ | * [[2004 AIME I Problems/Problem 10| Next problem]] | ||
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* [[2004 AIME I Problems]] | * [[2004 AIME I Problems]] |
Revision as of 02:44, 6 November 2006
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
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