Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - 8-1 The Pythagorean Theorem and It's Converse - Practice and Problem-Solving Exercises: 15

Answer

The given set of numbers is a Pythagorean Triple.

Work Step by Step

In order for a set of numbers to be a Pythagorean Triple, they must be natural numbers that create a true statement when plugged into the Pythagorean Theorem. Let us plug in the three numbers given and simplify to see if they create a true statement: $$a^2+b^2=c^2$$$$15^2+20^2=25^2$$$$225+400=625$$$$625=625$$Since this is true, the given set of numbers is a Pythagorean Triple.
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