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1995 AIME Problems/Problem 4

Revision as of 21:00, 21 January 2007 by Minsoens (talk | contribs)

Problem

Circles of radius $\displaystyle 3$ and $\displaystyle 6$ are externally tangent to each other and are internally tangent to a circle of radius $\displaystyle 9$. The circle of radius $\displaystyle 9$ has a chord that is a common external tangent of the other two circles. Find the square of the length of this chord.

Solution

See also

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