6
QuizMultiple Choice
Exploring the Pythagorean Theorem
Question 6 of 10 • *WHS Pre-Algebra - MA3119 B-CR
Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.Step 1: Find the greatest common factor of the given lengths: 7Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 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
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.B
Yes, any set of lengths with a common factor is a Pythagorean triple.C
No, the lengths of Pythagorean triples cannot have any common factors.D
No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.