Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.1 The Distance and Midpoint Formulas - F.1 Assess Your Understanding: 3

Answer

5

Work Step by Step

Use Pythagorean theorem $a^{2}+b^{2}=c^{2}$ where $c$ is the length of the hypotenuse and $a$ and $b$ are the lengths of the two other sides. $3^{2}+4^{2}=c^{2} \\9 + 16 = c^{2} \\25 = c^{2}$ Take the principal square root of both sides : $\sqrt{25}=\sqrt{c^{2}} \\5=c$
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