Answer
The given set of numbers is 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: $$a^2+b^2=c^2$$$$10^2+24^2=26^2$$$$100+576=676$$$$676=676$$Since this is true, the given set of numbers is a Pythagorean Triple.
