Question

Which of the following is a Pythagorean triplet? (2, 3, 5) (5, 7, 9) (6, 9, 11) (8, 15, 17)

Answer 1

Answer:

(8,15,17)

Step-by-step explanation:

8²+15² = 64 + 225 = 289 = 17²

Answer 2

AnswEr :-

→According to the property of a perfect square,

→we have for every number m>1, we have (2m, m2-1, m2+1) as a Pythagorean triplet

→ Using the above condition we can write as,

⇒ 2m=8

⇒ m=8/2=4

→ Then m2=16.

⇒ m2 – 1 = 16 – 1 = 15

⇒ m2 + 1 = 16 + 1 =17

Therefore the Pythagorean triplet is = (2m, m2-1, m2+1) = (8, 15, 17)

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