Question

Which of these is a Pythagorean triad?

A. 5, 12, 13
B. 1, 2, 3
C. 6, 9, 10

Answer 1

A) 5, 12, 13

Explanation:

`5^2 + 12^2 = 169`

`13^2 = 169`

∴ Option A is a Pythagorean triad.

`1^2 + 2^2 = 5`

`3^2 = 9`

∵
`5\\eq 9`, ∴ Option B is not a Pythagorean triad.

`6^2 + 9^2 = 117`

`10^2 = 100`

∵
`117\\eq 100`, ∴Option C is not a Pythagorean triad.

∴ A is the only Pythagorean triad out all three options.

Hope this helps :)