Difference between revisions of "2001 AIME II Problems/Problem 6"
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== Problem == | == Problem == | ||
+ | Square <math>ABCD</math> is inscribed in a circle. Square <math>EFGH</math> has vertices <math>E</math> and <math>F</math> on <math>\overline{CD}</math> and vertices <math>G</math> and <math>H</math> on the circle. The ratio of the area of square <math>EFGH</math> to the area of square <math>ABCD</math> can be expressed as <math>\frac {m}{n}</math> where <math>m</math> and <math>n</math> are relatively prime positive integers and <math>m < n</math>. Find <math>10n + m</math>. | ||
== Solution == | == Solution == | ||
+ | {{solution}} | ||
== See also == | == See also == | ||
− | + | {{AIME box|year=2001|n=II|num-b=5|num-a=7}} |
Revision as of 23:42, 19 November 2007
Problem
Square is inscribed in a circle. Square
has vertices
and
on
and vertices
and
on the circle. The ratio of the area of square
to the area of square
can be expressed as
where
and
are relatively prime positive integers and
. Find
.
Solution
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See also
2001 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |