PROBLEM OF THE MONTH
November 2005
Congratulations to this month's winners — Roman Kogan and
Said Amghibech!
Here is the solution by Roman Kogan:
[PDF]
Here is the solution by Said Amghibech:
[PDF]
An equilateral triangle A2B2C2
is placed inside of a bigger equilateral triangle A1B1C1
as in the picture below.
Find the minimum and the maximum possible area of the polygon
A1B2B1A2C1C2
over all locations of the smaller triangle A2B2C2
inside the bigger triangle A1B1C1.
(Note that we can rotate or shift the smaller triangle, but we can not change its size).
This month's prize will be awarded to the best explained, correct solution.
Submit your solution to the Mathematics Undergraduate Office (Math P-142)
or electronically to
problem@math.sunysb.edu
by the due date. Acceptable electronic formats are: PDF, Postscript, DVI,
(La)TeX, or just plain text. Please include your name and phone number,
or preferably your email address.
Closing date: December 10th at 12 pm.
