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.
(In reply to
A solution by Dej Mar)
Dej Mar and Leming should watch out, or Old Original Oskar will sue
you! Both solutions are his, eventually multiplied by a number...
:-D