Question

The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples! (5 points)

Answer 1

Answer:

3,4,5 are Pythagorean triplets because

5² = 3² + 4²

25 = 9 + 16

25 = 25

Hence verified.

8,15,17 are Pythagorean triplets because

17² = 15² + 8²

289 = 225 + 64

289 = 289

Hence verified.

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