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 00:42, 20 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 | ||
