200k views
5 votes
Write a multiple of 5 , 12 , 13, that is a Pythagorean triple

User Bparry
by
8.6k points

1 Answer

2 votes

Answer:

10, 24, 26

Explanation:

Hello!

5, 12, and 13 are Pythagorean Triple by themselves.

Proof:

  • 5² + 12² = 13² → 13 is the hypotenuse since it's the longest
  • 25 + 144 = 169
  • 169 = 169

To make a Pythagorean triple by multiplying, we can multiply all of these terms by the same number. I'm just going to multiply all the terms by 2.

  • 5, 12, 13
  • 10, 24, 26
  • 10² + 24² = 26²
  • 100 + 576 = 676
  • 676 = 676

Therefore, 10, 24, and 26 are a Pythagorean Triple.

User Jonathan Lamothe
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories