A right triangle has a hypotenuse length of 60, and one side length of 24. Do the side lengths form a Pythagorean triple? Explain.

Question

Mathematics

Eli Lara

29 June, 02:26

A right triangle has a hypotenuse length of 60, and one side length of 24. Do the side lengths form a Pythagorean triple? Explain.

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Answers (1)

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Rich · Answer 1

60^2 = 24^2 + leg^2

leg^2 = 3,600 - 576

leg^2 = 3,024

leg = 54.9909083395

IF the third leg = 55, then it would be a Pythagorean triple.

So, it is NOT a Pythagorean triple.

In order for a right triangle to be a Pythagorean triple, all 3 sides have to be integers.