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 tri

Question

3 years ago

8

ple. Besides using the converse of the Pythagorean theorem, is there another way Arnav can show that (15, 20, 25) is a Pythagorean triple?

1 answer:

stira [4] · Answer 1 · 2022-12-10T06:27:34+03:00

stira [4]3 years ago

6 0

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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