### Instruction: What is a Pythagorean triple?
### Response: In mathematics, a Pythagorean triple consists of three positive integers, a, b, c, such that a² + b² = c². These integers can form the sides of a right triangle, with c as the hypotenuse. For example, (3, 4, 5) is a Pythagorean triple because 3² + 4² = 5².