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Topic: Problem of the Week, February 28 to March 4
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Problem of the Week

Posts: 292
Registered: 12/3/04
Problem of the Week, February 28 to March 4
Posted: Feb 28, 1994 4:10 PM
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The problem of the week is a regular feature here at the geometry forum.
Each weekend a high school level geometry problem will be posted, and the
following weekend a summary of solutions and their authors will be posted.

Please do not post solutions to the problem of the week; instead mail your
answer along with as detailed a description of your method as
necessary/possible to (replying to this message
will also work). Solutions should be received by midnight Friday so they
can be combined and posted over the weekend.

Please include your name, grade, and school along with your answer.

Problem of the Week, February 28 to March 4

o Jill and Jimmy were on their lunch break from the
O bridge building assignment. Jimmy was blowing soap
_ bubbles to pass the time. One of Jimmy's bubbles
' ` _ turned out to look a little like the one at the left.
/ o \ ' `
| \ Suppose Jimmy's "double bubble" consists of two
\ | spheres whose centers are 14 cm apart. If the two
` _ '\ spheres intersect in a circle whose radius is 12 cm,
` o / and the radius of one sphere is 13 cm, what is the
` _ ' radius of the other sphere?

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