Difference between revisions of "2002 AIME I Problems/Problem 5"

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== Problem ==
 
== Problem ==
Let <math>A_1,A_2,A_3,\cdots,A_{12}</math> be the vertices of a regular dodecagon. How many distinct squares in the plane of the dodecagon have at least two vertices in the set <math>{A_1,A_2,A_3,\cdots,A_{12}}</math>?
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Let <math>A_1,A_2,A_3,\cdots,A_{12}</math> be the vertices of a regular dodecagon. How many distinct squares in the plane of the dodecagon have at least two vertices in the set <math>\{A_1,A_2,A_3,\cdots,A_{12}\} ?</math>
  
 
== Solution ==
 
== Solution ==

Revision as of 16:30, 25 September 2007

Problem

Let $A_1,A_2,A_3,\cdots,A_{12}$ be the vertices of a regular dodecagon. How many distinct squares in the plane of the dodecagon have at least two vertices in the set $\{A_1,A_2,A_3,\cdots,A_{12}\} ?$

Solution

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See also