Answer:
45, 28, 53
Explanations:
The pythagorean triple is an equation of the form:
a² + b² = c²
Since the question states that the set of numbers are possible side lengths of a Pythagorean triple, the longest value in the set will be considered as the hypotenuse.
Considering the sets one after the other:
For the set (18, 24, 42)
18² + 24² ≠ 42²
For the set (45, 28, 53)
45² + 28² = 53²
Since this obeys a² + b² = c², the set (45, 28, 53) forms a Pythagorean triple.
All other sets do not obey the rule a² + b² = c², therefore, they do not form the Pythagorean triple.