We know that the Pythagorean Theorem is a² + b² = c². First lets start with 6, 8, and 10. There is a simple way to know that these are Pythagorean triples. They make up what is called a 3-4-5 triangle. 3 x 2 is 6, 4 x 2 is 8, and 5 x 2 is 10. Next 5, 12, and 13 are Pythagorean triplets because 5² + 12² = 13². Because both of these form right triangles, we know that they are Pythagorean triplets.
