3. In AABC, ZA is 40°, a = 10 cm, and b = 12 cm. Determine c, to the nearest tenth of a centimetre. a) Explain why the ambiguous case must be considered for this triangle. b) Sketch diagrams to represent the two possible triangles that match these measurements. c) Solve for side c in both triangles. How many valid solutions are there? d) If side a is 12 cm rather than 10 cm, how many solutions are there? Explain why. e) Determine any solutions in part d).

3. In AABC, ZA is 40°, a = 10 cm, and b = 12 cm. Determine c, to the nearest tenth of a centimetre. a) Explain why the ambiguous case must be considered for this triangle. b) Sketch diagrams to represent the two possible triangles that match these measurements. c) Solve for side c in both triangles. How many valid solutions are there? d) If side a is 12 cm rather than 10 cm, how many solutions are there? Explain why. e) Determine any solutions in part d).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter1: Line And Angle Relationships

Section1.2: Angles And Their Relationships

Problem 39E

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