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Question

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


A
True
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B
False
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Solution

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 a2+b2=c2.

Then, consider (5,12,13) as Pythagorean triplet as, 132=122+52

Since, 12 is not an odd number.

Hence, the given statement is False.


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