26vandejonr25idn
Answered

Get detailed and accurate responses to your questions with IDNLearn.com. Ask anything and receive prompt, well-informed answers from our community of knowledgeable experts.

please I need it now will give brainliest

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: 7
Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5
Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared

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?

Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Yes, any set of lengths with a common factor is a Pythagorean triple.

No, the lengths of Pythagorean triples cannot have any common factors.

No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.

Sagot :

Sqdancefanidn

Answer:

  (a)  Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Step-by-step explanation:

In general, scaling the numbers involved in a relationship does not change their relationship.

If we have ...

  a² +b² = c²

and we scale each number by a factor of k, then we get ...

  (ka)² +(kb)² = (kc)²

  k²a² +k²b² = k²c²

  k²(a² +b²) = k²c² . . . . same result as multiplying the original relation by k²

Leon is correct that multiplying a Pythagorean triple by a constant gives another Pythagorean triple.

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.