The departments of Mathematics, Applied Mathematics, and Statistics at the University of Washington present the

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11/24/2009
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10/27/2009
10/20/2009
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07/14/2009
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05/05/2009
04/28/2009
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03/31/2009
03/17/2009
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03/03/2009
02/24/2009
02/17/2009
02/10/2009
02/03/2009
01/27/2009
01/20/2009
01/13/2009
01/06/2009
12/02/2008
11/25/2008
11/18/2008
11/11/2008
11/04/2008
10/28/2008
10/21/2008
10/14/2008
10/07/2008
09/30/2008
09/23/2008
09/09/2008
08/26/2008
08/19/2008
08/12/2008
08/05/2008
07/29/2008
07/22/2008
07/15/2008
07/08/2008
07/01/2008
06/24/2008
06/10/2008
06/03/2008
05/27/2008
05/20/2008
05/13/2008
05/06/2008
04/29/2008
04/22/2008
04/15/2008
04/08/2008
04/01/2008
03/18/2008
03/11/2008
03/04/2008
02/26/2008
02/19/2008
02/12/2008
02/05/2008
01/29/2008
01/22/2008
01/15/2008
01/08/2008
12/04/2007
11/27/2007
11/20/2007
11/13/2007
11/06/2007
10/30/2007
10/16/2007

July 22–July 28, 2008

Problem

The 5-12-13 triangle is special: its area and perimeter are equal. How many triangles are there with integral sides that have the same area as perimeter? (The triangles need not be right.)

Solution

here.

List of solvers

Jizhou Li, Qiaochu Yuan (undergrad); Dustin Moody (graduate); Kate Smith, Steve Wilmarth, Lloyd Sakazaki (outside).

Qiaochu Yuan wins the prize!