Open Question
In Exercises 1–8, solve each triangle. Round lengths of sides to the nearest tenth and angle measures to the nearest degree.
7. Non-Right Triangles
Law of Cosines
Back7. Non-Right Triangles
Law of Cosines
- Open QuestionIn Exercises 5–8, each expression is the right side of the formula for cos (α - β) with particular values for α and β. c. Find the exact value of the expression.5π π 5π πcos ------- cos -------- + sin -------- sin -------12 12 12 12
- Open QuestionIn Exercises 5–8, each expression is the right side of the formula for cos (α - β) with particular values for α and β. b. Write the expression as the cosine of an angle.5π π 5π πcos ------- cos -------- + sin -------- sin -------12 12 12 12
- Open Question
CONCEPT PREVIEW Assume a triangle ABC has standard labeling.
a. Determine whether SAA, ASA, SSA, SAS, or SSS is given.
b. Determine whether the law of sines or the law of cosines should be used to begin solving the triangle.
a, b, and C
- Open Question
Solve each triangle. Approximate values to the nearest tenth.
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- Open Question
Solve each triangle. Approximate values to the nearest tenth.
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- Open Question
Solve each triangle. Approximate values to the nearest tenth.
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- Open Question
Solve each triangle. See Examples 2 and 3.
A = 41.4°, b = 2.78 yd, c = 3.92 yd
- Open Question
Solve each triangle. See Examples 2 and 3.
C = 45.6°, b = 8.94 m, a = 7.23 m
- Open Question
Solve each triangle. See Examples 2 and 3.
a = 9.3 cm, b = 5.7 cm, c = 8.2 cm
- Open Question
Solve each triangle. See Examples 2 and 3.
a = 42.9 m, b = 37.6 m, c = 62.7 m
- Open Question
Solve each triangle. See Examples 2 and 3.
a = 965 ft, b = 876 ft, c = 1240 ft
- Open Question
Solve each triangle. See Examples 2 and 3.
A = 80° 40', b = 143 cm, c = 89.6 cm
- Open Question
Solve each triangle. See Examples 2 and 3.
B = 74.8°, a = 8.92 in., c = 6.43 in.
- Open Question
Solve each triangle. See Examples 2 and 3.
A = 112.8°, b = 6.28 m, c = 12.2 m