Project Euler Question 9 Special Pythagorean Triplet in Turkish

Project Euler Question 9 Special Pythagorean Triplet in Turkish

The three natural numbers in the Pythagorean theorem are a, b, and c; a < b < c and a^2 + b^2 = c^2
For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2
There is only one Pythagorean triplet for which a + b + c equals 1000.
Find this triplet and calculate the value of a x b x c.