College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.3 - Geometry Essentials - R.3 Assess Your Understanding - Page 38: 58

Answer

See below.

Work Step by Step

By Pythagorean's Theorem we know that $a^2+b^2=c^2\\(m^2-n^2)^2+(2mn)^2=(m^2+n^2)^2\\m^4+n^4-2m^2n^2+4m^2n^2=m^4+n^4+2m^2n^2$ This is true, thus $a,b,c$ are sides of a right triangle.
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