The sets of numbers 3, 4, 5 and 8, 15, 17 are pythagorean triples. use what you know about the pythagorean theorem and explain or show why they are pythagorean triples. be sure to show your work for each set of triples!

Pythagorean theorem : a^2 + b^2 = c^2

using 3,4,5
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25 (correct)

using 8,15,17
8^2 + 15^2 = 17^2
64 + 225 = 289
289 = 289 (correct)

they are Pythagorean triplets because they satisfy the Pythagorean theorem

How many groups are there?