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


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