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14. In the triangle shown a = 21 cm, b = 45 cm, and c = 60 cm. Define a, b, and c as variables, and then: A a) Calculate the angle y (in degrees) by substi- tuting the variables in the Law of Cosines. (The Law of Cosines: c² = a² +b² - 2abcosy) b) Calculate the angles a and ß (in degrees) using the Law of Sines. c) Check that the sum of the angles is 180°.

14. In the triangle shown a = 21 cm, b = 45 cm, and c = 60 cm. Define a, b, and c as variables, and then: A a) Calculate the angle y (in degrees) by substi- tuting the variables in the Law of Cosines. (The Law of Cosines: c² = a² +b² - 2abcosy) b) Calculate the angles a and ß (in degrees) using the Law of Sines. c) Check that the sum of the angles is 180°.

Elementary Geometry For College Students, 7e
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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14. In the triangle shown a = c = 60 cm. Define a, b, and c as variables, and 21 cm, b = 45 cm, and %3D then: a) Calculate the angle y (in degrees) by substi- tuting the variables in the Law of Cosines. BAB C. (The Law of Cosines: c = a +b° - 2abcosy) b) Calculate the angles a and ß (in degrees) using the Law of Sines. c) Check that the sum of the angles is 180°.
Transcribed Image Text:14. In the triangle shown a = c = 60 cm. Define a, b, and c as variables, and 21 cm, b = 45 cm, and %3D then: a) Calculate the angle y (in degrees) by substi- tuting the variables in the Law of Cosines. BAB C. (The Law of Cosines: c = a +b° - 2abcosy) b) Calculate the angles a and ß (in degrees) using the Law of Sines. c) Check that the sum of the angles is 180°.
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