Which of the following triplets are Pythagorean?
(i) (8, 15, 17)
(ii) (18, 80, 82)
(iii) (14, 48, 51)
(iv) (10, 24, 26)
(v) (16, 63, 65)
(vi) (12, 35, 38)
(i) (8, 15, 17)
L.H.S = 82 + 152 = 289
R.H.S = 172 = 289
L.H.S = R.H.S
So, it is Pythagoras
(ii) (18, 80, 82)
L.H.S = 182 + 802 = 6724
R.H.S = 822 = 6724
L.H.S = R.H.S
So, it is Pythagoras
(iii) (14, 48, 51)
L.H.S = 142 + 482 = 2500
R.H.S = 512 = 2601
L.H.S ≠ R.H.S
So, it is not Pythagoras
(iv) (10, 24, 26)
L.H.S = 102 + 242 = 676
R.H.S = 262 = 676
L.H.S = R.H.S
So, it is Pythagoras
(v) (16, 63, 65)
L.H.S = 162 + 632 = 4225
R.H.S = 652 = 4225
L.H.S = R.H.S
So, it is Pythagoras
(vi) (12, 35, 38)
L.H.S = 122 + 352 = 1369
R.H.S = 382 = 1444
L.H.S ≠ R.H.S
So, it is Pythagoras