True or False? In Exercises 55–58, determine whether the statement is true or false. Justify your answer. 55. If a triangle contains an obtuse angle, then it must be oblique.56. Two angles and one side of a triangle do not necessarily determine a unique triangle. 57. When you know the three angles of an oblique triangle, you can solve the triangle. 58. The ratio of any two sides of a triangle is equal to the ratio of the sines of the opposite angles of the two sides. 59. Error Analysis Describe the error. The area of the triangle with C = 58°, b = 11 feet, and c = 16 feet is Area = 1 2 (11)(16)(sin 58°) = 88(sin 58°) ≈ 74.63 square feet.
True or False? In Exercises 55–58, determine whether the statement is true or false. Justify your answer. 55. If a triangle contains an obtuse angle, then it must be oblique.56. Two angles and one side of a triangle do not necessarily determine a unique triangle. 57. When you know the three angles of an oblique triangle, you can solve the triangle. 58. The ratio of any two sides of a triangle is equal to the ratio of the sines of the opposite angles of the two sides. 59. Error Analysis Describe the error. The area of the triangle with C = 58°, b = 11 feet, and c = 16 feet is Area = 1 2 (11)(16)(sin 58°) = 88(sin 58°) ≈ 74.63 square feet.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Topic Video
Question
True or False? In Exercises 55–58, determine whether
the statement is true or false. Justify your answer.
55. If a
oblique.56. Two
determine a unique triangle.
57. When you know the three angles of an oblique triangle,
you can solve the triangle.
58. The ratio of any two sides of a triangle is equal to the
ratio of the sines of the opposite angles of the two sides.
59. Error Analysis Describe the error.
The area of the triangle with
C = 58°, b = 11 feet, and
c = 16 feet is
Area = 1
2
(11)(16)(sin 58°)
= 88(sin 58°)
≈ 74.63 square feet.
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