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Arnav knows that (3, 4, 5) and (5, 12, 13) are Pythagorean triples. He wants to show that (15, 20, 25) is also a Pythagorean triple. Besides using the converse of the Pythagorean theorem, is there another way Arnav can show that (15, 20, 25) is a Pythagorean triple?

Arnav knows that 3 4 5 and 5 12 13 are Pythagorean triples He wants to show that 15 20 25 is also a Pythagorean triple Besides using the converse of the Pythago class=

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sqdancefan

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Answer:

  multiply the (3, 4, 5) triple by 5 to get (15, 20, 25)

Step-by-step explanation:

Any multiple of a Pythagorean triple is a Pythagorean triple.

  5(3, 4, 5) = (5·3, 5·4, 5·5) = (15, 20, 25) — a Pythagorean triple

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