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Question
Find the Pythagorean triplet from among the following set of numbers.
4, 7, 8
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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 (4, 7, 8).
The biggest number among the given set is 8.
82 = 64; 72 = 49; 42 = 16
Now, 16 + 49 = 65 ≠ 64
∴ 42 + 72 ≠ 82
Thus, (4, 7, 8) does not form a Pythagorean triplet.
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