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Question
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.
72 = 49; 62 = 36; 22 = 4
Now, 4 + 36 = 40 ≠ 49
∴ 22 + 62 ≠ 72
Thus, (2, 6, 7) does not form a Pythagorean triplet.
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