Wednesday, April 18, 2012

A Square Gets Between 2 Kissing Circles

I saw a problem similar to the following on some website recently. The problem stayed in my head but not the site. If you recognize it, please comment so that I can provide proper attribution.

Circle I and circle II each of radius 10 are tangent to each other and to a common external tangent line T.
A square ABCD is drawn between the circles such that A,B are on circles I and II respectively and C,D are on line T.

(a)  Draw the diagram from the above description.
(b) Show that a side of the square is 4.

Sent from my Verizon Wireless 4GLTE Phone

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