Project Euler 9 Understanding

Question

This question states:

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.

I'm not sure what's it trying to ask you. Are we trying to find a2 + b2 = c2 and then plug those numbers into a + b + c = 1000?

Answer 1

You need to find the a, b, and c such that both a2 + b2 = c2 and a + b + c = 1000. Then you need to output the product a * b * c.