Answer
The given set of numbers is not a pythagorean triple.
Work Step by Step
In order for a set of numbers to be a Pythagorean Triple, they must be natural numbers that create a true statement when plugged into the Pythagorean Theorem. Let us plug in the three numbers given and simplify to see if they create a true statement: $$a^2+b^2=c^2$$$$4^2+5^2=6^2$$$$16+25=36$$$$41=36$$Since this is false, the given set of numbers is not a Pythagorean Triple.
