24
QuizMultiple Choice

Pythagorean Theorem — Test

Question 24 • Foundations of Math 1

Leon states that 21 , 28 , 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?

Answer
A
No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.
B
No, the lengths of Pythagorean triples cannot have any common factors.
C
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
D
Yes, any set of lengths with a common factor is a Pythagorean triple.

Explanation

The lengths 21, 28, and 35 are 7 times 3, 4, and 5, which form a Pythagorean triple. Multiplying every length in a Pythagorean triple by the same whole number preserves the relationship, so Leon is correct: multiplying every length by the same whole number results in a Pythagorean triple.

AI-written and checked against the verified answer.

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