Find whether the following triplets are Pythagorean or not?
(a) (5, 8, 17)
(b) (8, 15, 17)
(a) Given triplet: (5, 8, 17)
172 = 289
82 = 64
52 = 25
82 + 52 = 64 + 25 = 89
Since 89 ≠ 289
52 + 82 ≠ 172
Hence (5, 8, 17) is not Pythagorean triplet.
(b) Given triplet: (8, 15, 17)
172 = 289
152 = 225
82 = 64
152 + 82 = 225 + 64 = 289
172 = 152 + 82
Hence (8, 15, 17) is a Pythagorean triplet.