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