i used iterative method....see if it helps....

1) list all sqrs from 1 to 8 ...( upto 8 bcoz 9x9=81 crossing 75.....all sqrs should be below 75)

2) start from max value and start negating one by one....say a,b,c are those numbers then a=8 ....so 75-64 = 11 ...b^2+c^2 = 11....from all options from 1 to7 its not possible...hence negate 8

3) move to a=7....75-49 = 26...Hurrey!

possible....as b=1 c=25.....but now the question is are there any more possible combinations......but since question asks unique answer it should be the only one possibility.....otherwise question would have been find max or min type...since it is not we can be rest assure it is the only combination

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Bhushan S.

If you like my post....Consider it for Kudos