Find three positive rational numbers such that their sum is a square, and the sum of any pair exceeds the third by a square.

Classical Rules: Let a "square" be any number that is the square of a rational number.

The numbers (26, 80, 90) work. Not as small as O. O. O.'s though.

Unless I divide each of the numbers by 144. :)

On that thought, I would rewrite (2.5, 2.5, 4) as (10, 10, 16) to achieve the smallest integers for that set.

Posted by Leming on 2006-04-17 13:12:05