Question

Which of the following is not a Pythagorean triple?

a) 7, 24, 25

b) 8, 15, 17

c) 9, 12, 15

d) 10, 16, 19

Answer 1

Pythagorean Triples are sets of whole numbers which fit the rule:

a² + b² = c²

In Option a): 7² + 24² = 49 + 576 = 625 = 25² which means 7, 24 and 25 is a Pythagorean triple.

In Option b): 8² + 15² = 64 + 225 = 289 = 17² which means 8, 15, and 17 is a Pythagorean triple.

In Option c): 9² + 12² = 81 + 144 = 225 = 15² which means 9, 12 and 15 is a Pythagorean triple.

In Option d): 10² + 16² = 100 + 256 = 356 ≠ 19² which means 10, 16 and 19 is not a Pythagorean triple.

(7, 24, 25 ),( 8, 15, 17), (9, 12, 15) are Pythagorean triple examples.