A Pythagorean triple is a triple that describes the three positive integer side lengths of a right triangle. It fits the rule a^2 + b^2 = c^2. From the given sets of numbers above, the following are the Pythagorean triples: Option C: 12, 16 and 20 (144 + 256 = 400); Option E: 8, 15 and 17 (64 + 225 = 289); and Option F 32, 60 and 68 (1,024 + 3600 = 4,624).