**Law of Cosines**In $ \triangle QRS $, $ q = 40 $ cm, $ r = 17 $ cm, and $ s = 49 $ cm. Find the measure of $ \angle S $ to the nearest degree.**Explanation:**To solve for $ \angle S $ using the Law of Cosines, we use the formula:\[ c^2 = a^2 + b^2 - 2ab \cos(C) \]Here, sides $ q $, $ r $, and $ s $ correspond to values $ a $, $ b $, and $ c $ respectively. By substituting the given values into the equation, you can calculate $ \angle S $.

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Answered: Law of Cosines In AORS, q = q9 cm, re11…

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Law of Cosines In AORS, q = q9 cm, re11 cm and SE9bcm. Find the mcaauce of &S to the neurest degree

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Q: Explain the Law of Cosines?

Question

**Law of Cosines**

In $ \triangle QRS $, $ q = 40 $ cm, $ r = 17 $ cm, and $ s = 49 $ cm. Find the measure of $ \angle S $ to the nearest degree.

**Explanation:**
To solve for $ \angle S $ using the Law of Cosines, we use the formula:
\[ c^2 = a^2 + b^2 - 2ab \cos(C) \]

Here, sides $ q $, $ r $, and $ s $ correspond to values $ a $, $ b $, and $ c $ respectively. By substituting the given values into the equation, you can calculate $ \angle S $.

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