Question

The following sets of numbers are possible side lengths of a triangle. Which of the following sets forms a Pythagoreantriple?18, 24,4245, 28.5315, 30.4533,77.22

Answer 1

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.