Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.7 The Distance Formula, the Midpoint Formula, and Other Applications - 10.7 Exercise Set - Page 679: 85

Answer

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Work Step by Step

One way to use the distance formula to see if the points are the vertices of a right triangle is to first find the length between points using the distance formula. Then, plugging in the greatest length for $c$ and the other two for $a$ and $b$, see if the Pythagorean theorem results in a true statement. If it does not, then it is not a right triangle.
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