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

2, 6, 7

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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 (2, 6, 7).

The biggest number among the given set is 7.

7^{2} = 49; 6^{2} = 36; 2^{2} = 4

Now, 4 + 36 = 40 ≠ 49

∴ 2^{2} + 6^{2} ≠ 7^{2}

Thus, (2, 6, 7) does not form a Pythagorean triplet.

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