Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.2 - The Law of Cosines - Concept and Vocabulary Check - Page 729: 2


$side$, $Cosines$, $Sines$, $acute$, $180^\circ$.

Work Step by Step

We can not use the Law of Sines with the given $SAS$ condition; rather, the Laws of Cosines needs to be used to find the length of the third side. With one known angle and three sides, we can find the angles using the Law of Sines by first finding the smaller angle (using the shorter side), which should be acute. As the sum of all angles is $180^\circ$, we can find the third angle by subtracting the two known angles from $180^\circ$. Thus, the answers to the question are: $side$, $Cosines$, $Sines$, $acute$, $180^\circ$.
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