Question

Write the Pythagorean triplet whose one of the numbers is 4.

Answer 1

For any natural number greater than 1, (2m, m² – 1, m² + 1) is Pythagorean triplets.

So, if one number is 2m, then another two numbers will be m² – 1 and m² + 1.

Given, one number = 4

Then Pythagorean triplets:

2m = 4 or m = 2

So, m² – 1 = (2)² – 1 = 4 – 1 = 3

m² + 1 = (2)² + 1 = 4 + 1 = 5

Now, (3)² + (4)² = (5)²

⇒ 9 + 16 = 25

⇒ 25 = 25

Therefore, Pythagorean triplets are 3, 4 and 5.