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March 13th, 2014, 09:48 AM   #1
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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...
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March 13th, 2014, 09:54 AM   #2
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Re: Special right triangle.

Are a, b and c positive integers?
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March 13th, 2014, 10:38 AM   #3
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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
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March 13th, 2014, 01:36 PM   #4
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(a, b, c) = (17556, 20592, 27060)
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March 13th, 2014, 05:19 PM   #5
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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.
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March 13th, 2014, 10:54 PM   #6
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See this.
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