Question

Which of the following is not a Pythagorean triplet 3 4 5 6 8 10 8 15 16 10 24 26?

Answer 1

8, 15, 16

Explanation:

8, 15, 16 is not a Pythagorean triple because it doesn't satisfy the Pythagorean Theorem:

`a^2 + b^2 = c^2`

When we plug this set of numbers into the theorem:

`8^2 + 15^2 \stackrel{?}{=} 16^2`

`289 \\eq 256`

we get an inequality, not an equality which would make this set of numbers a Pythagorean triple.

Note that all of the other given triples satisfy the Pythagorean Theorem.