Difference between revisions of "2006 AMC 10A Problems/Problem 23"

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== Problem ==
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#redirect [[2006 AMC 12A Problems/Problem 16]]
[[Circle]]s with centers A and B have [[radius |radii]] 3 and 8, respectively. A common internal tangent intersects the circles at C and D, respectively. Lines AB and CD intersect at E, and AE=5. What is CD?
 
 
 
<math>\mathrm{(A) \ } 13\qquad\mathrm{(B) \ } \frac{44}{3}\qquad\mathrm{(C) \ } \sqrt{221}\qquad\mathrm{(D) \ } \sqrt{255}\qquad\mathrm{(E) \ } \frac{55}{3}\qquad</math>
 
== Solution ==
 
{{solution}}
 
== See Also ==
 
*[[2006 AMC 10A Problems]]
 
 
 
*[[2006 AMC 10A Problems/Problem 22|Previous Problem]]
 
 
 
*[[2006 AMC 10A Problems/Problem 24|Next Problem]]
 
 
 
[[Category:Introductory Geometry Problems]]
 

Latest revision as of 21:30, 1 December 2007