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Question
Find the Pythagorean triplet from among the following set of numbers.
4, 5, 6
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, 5, 6).
The biggest number among the given set is 6.
62 = 36; 52 = 25; 42 = 16
Now, 25 + 16 = 41 ≠ 36
∴ 52 + 42 ≠ 62
Thus, (4, 5, 6) does not form a Pythagorean triplet.
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