Difference between revisions of "1995 AIME Problems/Problem 4"
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== Problem == | == Problem == | ||
| + | Circles of radius <math>\displaystyle 3</math> and <math>\displaystyle 6</math> are externally tangent to each other and are internally tangent to a circle of radius <math>\displaystyle 9</math>. The circle of radius <math>\displaystyle 9</math> has a chord that is a common external tangent of the other two circles. Find the square of the length of this chord. | ||
== Solution == | == Solution == | ||
== See also == | == See also == | ||
| + | * [[1995_AIME_Problems/Problem_3|Previous Problem]] | ||
| + | * [[1995_AIME_Problems/Problem_5|Next Problem]] | ||
* [[1995 AIME Problems]] | * [[1995 AIME Problems]] | ||
Revision as of 21:00, 21 January 2007
Problem
Circles of radius 
and 
are externally tangent to each other and are internally tangent to a circle of radius 
. The circle of radius has a chord that is a common external tangent of the other two circles. Find the square of the length of this chord.
