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1. Which of the statements is TRUE? A. If three side lengths of a triangle are given, then the law of sines can be used to solve the triangle. B. The law of cosines can be used to solve any triangle given two sides and an angle. C. The law of cosines can only be used to solve oblique triangles. D. If three sides of a triangle are given, then the triangle formed is unique.

1. Which of the statements is TRUE? A. If three side lengths of a triangle are given, then the law of sines can be used to solve the triangle. B. The law of cosines can be used to solve any triangle given two sides and an angle. C. The law of cosines can only be used to solve oblique triangles. D. If three sides of a triangle are given, then the triangle formed is unique.

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.
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 21E
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1. Which of the statements is TRUE? A. If three side lengths of a triangle are given, then the law of sines can be used to solve the triangle. B. The law of cosines can be used to solve any triangle given two sides and an angle. C. The law of cosines can only be used to solve oblique triangles. D. If three sides of a triangle are given, then the triangle formed is unique. 2. For what measure of ZC is the cosine law c² = a² + b² - 2ab cos C reduced to the Pythagorean Theorem? B. 30° A. 0° C. 90° D. 180° 3. Referring to the figure, which angle can you say for certain is the largest even before solving the triangle? A. A B. B C. C 10 m 12 m D. can't tell due to insufficient information. C 15 m B 4. Find the distance across the lake from A to C to the nearest yard, using the measurements shown in the figure. A. 193.44 yards B. 194.56 yards C. 206.73 yards D. 214.62 yards 140 yd 80° 160 yd B 5. At the base of a pyramid, a surveyor determines that the angle of elevation to the top is 53°. At a point 75 meters from the base, the angle of elevation to the top is 35º. What is the distance from the base of the pyramid up the slanted face to the top? A. 98.24 m Top of Pyramid B. 110.73 m C. 124.36 m D. 139.21 m 18 35 127 53⁰ 75 Base of Pyramid
Transcribed Image Text:1. Which of the statements is TRUE? A. If three side lengths of a triangle are given, then the law of sines can be used to solve the triangle. B. The law of cosines can be used to solve any triangle given two sides and an angle. C. The law of cosines can only be used to solve oblique triangles. D. If three sides of a triangle are given, then the triangle formed is unique. 2. For what measure of ZC is the cosine law c² = a² + b² - 2ab cos C reduced to the Pythagorean Theorem? B. 30° A. 0° C. 90° D. 180° 3. Referring to the figure, which angle can you say for certain is the largest even before solving the triangle? A. A B. B C. C 10 m 12 m D. can't tell due to insufficient information. C 15 m B 4. Find the distance across the lake from A to C to the nearest yard, using the measurements shown in the figure. A. 193.44 yards B. 194.56 yards C. 206.73 yards D. 214.62 yards 140 yd 80° 160 yd B 5. At the base of a pyramid, a surveyor determines that the angle of elevation to the top is 53°. At a point 75 meters from the base, the angle of elevation to the top is 35º. What is the distance from the base of the pyramid up the slanted face to the top? A. 98.24 m Top of Pyramid B. 110.73 m C. 124.36 m D. 139.21 m 18 35 127 53⁰ 75 Base of Pyramid
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