Question

All numbers of a Pythagorean triplet are odd. State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is B False

We know that general form of Pythagorean triplet is $(2m,m²-1,m²+1)$

Consider three natural numbers $a,b$ and $c$ are said to form a Pythagorean triplet, if $a^2+b^2=c^2.$

Then, consider $(5,12,13)$ as Pythagorean triplet as, ${13}^2={12}^2+5^2$

Since, $12$ is not an odd number.

Hence, the given statement is False.