Does the numbers 4, 5, 6 form a pythagorean triple?

Jun 11, 2016

$4$, $5$ and $6$ are not pythagorean triple.

Explanation:

For a set of three numbers to be pythagorean,

the square of the largest number should be equal to sum of the squares of other two.

Here among $4$, $5$ and $6$, $6$ is largest whose square is $36$

and sum of squares of other two numbers is ${4}^{2} + {5}^{2} = 16 + 25 = 41$, which is more than $36$

Hence $4$, $5$ and $6$ are not pythagorean triple.