I like Clojure, but as a point of comparison, here's a Haskell
solution, as typed in the REPL:

Prelude>  let bOf a = 1000*(500 - a)/(1000 - a)
Prelude>  let nearInt x =  x - fromInteger(truncate x) < 0.000001
Prelude>  head [ ( a, b, sqrt(a^2 + b^2) ) | a <- [1..], b <- [bOf a],
nearInt b ]
(200.0,375.0,425.0)

The numbers in the result add up to 1000, of course. Here, I just
solved b in terms of a, which is function bOf. Predicate nearInt
detects whether its argument is an integer (or close enough). Haskell
is lazy, so even though [1..] and the big list comprehension are
infinite, head just needs the first element.

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