Question

THE NEXT PYTHAGOREAN TRIPLET OF 6 and 12 is.....​

Answer 1

Definition:

Pythagorean triplet is a set of three positive integers which satisfies the condition :

a² + b² = c²

⇒ 6² + 12² = 180  (180 not a perfect square)

⇒ 12² - 6² = 108 (108 not a perfect square)

Hence 6 , 12 cannot form a triplet with any other positive integer.

If your question was 5, 12 then.

⇒ 5² + 12² = 169 = (13)²

Hence 5,12,13 forms a Pythagorean triplet.  

Hope this answer helps.