Given the lengths of the three sides of a triangle (SSS), why is the law of cosines used to find the measure of the largest angle first?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 11E: Is it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?
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Given the lengths of the three sides of a triangle (SSS), why is the law of cosines used to find the measure of the largest angle first?

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