Question

If one member of a pythagorean triplet is 2m, then the other two members are ______.

विकल्प

• m, m² + 1

• m² + 1, m² – 1

• m², m² – 1

• m², m + 1

Answer 1

If one member of a pythagorean triplet is 2m, then the other two members are m² + 1, m² – 1.

Explanation:

2m = 4

⇒ m = 2

m² + 1 = 2² + 1

= 4 + 1

= 5

And m² – 1 = 2² – 1

= 4 – 1

= 3

Now, 3² + 4² = 5²

⇒ 9 + 16 = 25

⇒ 25 = 25

So 3, 4 and 5 are pythagorean triplets.