Mock AIME 1 2010 Problems/Problem 9
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Problem
Let and
be circles of radii 5 and 7, respectively, and suppose that the distance between their centers is 10. There exists a circle
that is internally tangent to both
and
, and tangent to the line joining the centers of
and
. If the radius of
can be expressed in the form
, where
,
, and
are integers, and
is not divisible by the square if any prime, find the value of
.
Solution
See Also
Mock AIME 1 2010 (Problems, Source) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |