Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 10"
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Revision as of 14:45, 24 July 2006
10. 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
.