Question

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

2, 4, 5

Answer 1

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, 4, 5).

The biggest number among the given set is 5.

5² = 25; 4² = 16; 2² = 4

Now, 16 + 4 = 20 ≠ 25

∴ 4² + 2² ≠ 5²

Thus, (2, 4, 5) does not form a Pythagorean triplet.