The whole numbers  are called pythagorean triplets because they follow the pythagoras theorem. Select the set of numbers which are not a pythagorean triplet.

To identify a set of numbers that is not a Pythagorean triplet, we need to understand what defines a Pythagorean triplet. A Pythagorean triplet consists of three positive integers $a$, $b$, and $c$ such that:

$a^2 + b^2 = c^2$

Where $c$ is the largest number, and it represents the hypotenuse of a right triangle.

Here are some common Pythagorean triplets for reference:

• (3, 4, 5)
• (5, 12, 13)
• (8, 15, 17)

To determine which set of numbers is not a Pythagorean triplet, we would check if the equation holds true for any given set of three numbers.

For example, consider the set (2, 3, 4):

• Check if $2^2 + 3^2 = 4^2$:

$4 + 9 \neq 16$

This shows that (2, 3, 4) does not satisfy the condition of a Pythagorean triplet.

Final Answer

The set of numbers (2, 3, 4) is not a Pythagorean triplet.