Difference between revisions of "2018 AMC 10A Problems/Problem 15"
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− | Call the largest circle <math>\ | + | Call the largest circle <math>\circ X</math>. |
Revision as of 14:48, 8 February 2018
Two circles of radius 5 are externally tangent to each other and are internally tangent to a circle of radius 13 at points and
, as shown in the diagram. The distance
can be written in the form
, where
and
are relatively prime positive integers. What is
?
Solution
Call the largest circle .