**Problem 9**

*A Pythagorean triplet is a set of three natural numbers, a b c, for which,*

`a`^{2} + `b`^{2} = `c`^{2}

*For example, 3 ^{2} + 4^{2} = 9 + 16 = 25 = 5^{2}.*

*There exists exactly one Pythagorean triplet for which a + b + c = 1000. *

Find the product abc.

**Solution**

exit = false

for a in 1..999 do

for b in a..999 do

c = 1000 – a – b

if c < b then break end

if a**2 + b**2 == c**2

puts a*b*c

exit = true

break

end

end

if exit then break end

end

**Discussion**

Anybody know the proper way to exit an IronRuby program? Leave a comment, find me on Twitter (@azzlsoft) or email (rich@azzlsoft.com).

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