Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 10"
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− | *[[Mock AIME 1 2006-2007/Problem 11 | Next Problem]] | + | *[[Mock AIME 1 2006-2007 Problems/Problem 11 | Next Problem]] |
*[[Mock AIME 1 2006-2007]] | *[[Mock AIME 1 2006-2007]] |
Revision as of 15:51, 3 April 2012
Problem
In ,
,
, and
have lengths
,
, and
, respectively. Let the incircle, circle
, of
touch
,
, and
at
,
, and
, respectively. Construct three circles,
,
, and
, externally tangent to the other two and circles
,
, and
are internally tangent to the circle
at
,
, and
, respectively. Let circles
,
,
, and
have radii
,
,
, and
, respectively. If
where
and
are positive integers, find
.
Solution
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