Question

Which of the following are Pythagorean triples? Check all that apply.

A. 24, 35, 41.2
B. 9, 14, 17.1
C. 12, 16, 20
D. 5, 13, 16
E. 8, 15, 17
F. 32, 60, 68

Answer 1

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).