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 March 13th, 2014, 09:48 AM #1 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1039 Special right triangle. Had fun with this one: Pythagorean right triangle ABC, sides a, b and c (a < b < c). a = u^2 + u b = v^2 + v c = w^2 + w Find smallest case. I'll post the answer in a week if nobody finds it...
 March 13th, 2014, 09:54 AM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond Re: Special right triangle. Are a, b and c positive integers?
March 13th, 2014, 10:38 AM   #3
Math Team

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Re: Special right triangle.

Quote:
 Originally Posted by greg1313 Are a, b and c positive integers?
Yes; they're the sides of a pythagorean right triangle
Go have your 2nd coffee :P

 March 13th, 2014, 01:36 PM #4 Global Moderator   Joined: Dec 2006 Posts: 21,036 Thanks: 2273 (a, b, c) = (17556, 20592, 27060)
 March 13th, 2014, 05:19 PM #5 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1039 Re: Special right triangle. Yep. Thanks for confirming, Skip. I went up to a (shortest side) = 5 million; couldn't find any more. Of course, all sides have to be even.
 March 13th, 2014, 10:54 PM #6 Senior Member   Joined: Mar 2014 Posts: 112 Thanks: 8 See this.

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