Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.1 The Distance and Midpoint Formulas - 1.1 Assess Your Understanding - Page 6: 3

Answer

$5$

Work Step by Step

The triangle is right so the Pythagorean Theorem can be used to find the length of the hypotenuse. Use the Pythagorean Theorem to solve for $c$ with $a=3$ and $b=4$ to obtain: $a^2+b^2=c^2$ $3^2+4^2=c^2$ $9+16=c^2$ $25=c^2$ $c=5$ Thus, the hypotenuse of the right triangle is $5$ units.
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