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What is the length of BC?

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In rectangle ABCD, side AB = 8. There are two circles: one tangent to AB and BC (and has point E), and another tangent to AD and CD (and has point F). The two circles are also tangent to each other. The line EF is parallel to AB, passes through the tangent point, and EF = 6.
What is the length of BC?
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posted Sep 15, 2020 by Akriti

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