Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 45

Answer

$a=12 \text{ } cm$

Work Step by Step

Using $a^2+b^2=c^2$ or the Pythagorean Theorem, then, \begin{array}{l}\require{cancel} a^2+16^2=20^2 \\\\ a^2+256=400 \\\\ a^2=400-256 \\\\ a^2=144 \\\\ a=\pm\sqrt{144} \\\\ a=\pm\sqrt{(12)^2} \\\\ a=\pm12 .\end{array} Since there are no negative measurements, then $ a=12 \text{ } cm .$
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