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26 votes
26 votes
Write a multiple of 5 , 12 , 13, that is a Pythagorean triple

User Tonito
by
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1 Answer

15 votes
15 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 Toringe
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2.9k points