# Special Pythagorean triplet

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

a2 + b2 = c2

For example, 32 + 42 = 9 + 16 = 25 = 52.

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

Find the product abc.

The key word here is **Pythagorean Triplet**, from Wikipedia, a Pyhtagorean Triplet consists of **three** positive integers, *a*, *b*, and *c*, such that

$$a^2 + b^2 = c^2$$

Such triplet is commonly written (a, b, c). The most comon example is (3, 4, 5)

**WIP**