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Find the Pythagorean triplets from among the following set of numbers.

3, 4, 5

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#### Solution

It is known that, if in a triplet of natural numbers, the square of the biggest number is equal to the sum of the squares of the other two numbers, then the three numbers form a Pythagorean triplet.

The given set of numbers is (3, 4, 5).

The biggest number among the given set is 5.

5^{2} = 25; 4^{2} = 16; 3^{2} = 9

Now, 16 + 9 = 25

∴ 4^{2} + 3^{2} = 5^{2}

Thus, (3, 4, 5) form a Pythagorean triplet.

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