Difference between revisions of "2005 AIME II Problems/Problem 12"

 
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== Solution ==
 
== Solution ==
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{{solution}}
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== See also ==
  
== See also ==
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*[[2005 AIME II Problems/Problem 11| Previous problem]]
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*[[2005 AIME II Problems/Problem 13| Next problem]]
 
* [[2005 AIME II Problems]]
 
* [[2005 AIME II Problems]]

Revision as of 21:08, 7 September 2006

Problem

Square $ABCD$ has center $O, AB=900, E$ and $F$ are on $AB$ with $AE<BF$ and $E$ between $A$ and $F, m\angle EOF =45^\circ,$ and $EF=400.$ Given that $BF=p+q\sqrt{r},$ where $p,q,$ and $r$ are positive integers and $r$ is not divisible by the square of any prime, find $p+q+r.$

Solution

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See also