Write a Pythagorean triplet whose one member is.
(i) 6                      (ii) 14                     (iii) 16                (iv) 18

Explanation

To find the Pythagorean triplets for the given numbers, we can use the formula for generating Pythagorean triplets:

1. Let one member of the triplet be \( a \).
2. Let \( 2m = a \), where \( m \) is an integer.
3. The other two members of the triplet will then be \( m^2 - 1 \) and \( m^2 + 1 \).

Now, let's solve each part step by step.

...