1. In solving a triangle, which of the following conditions can the Law of Cosines be used 1. If you know two angle-measures and one side-length II. If you know two side-lengths and measure of the angle opposite any one of the two sides with given lengths (nonincluded angle) III. If you know two side-lengths and measure of the angle between the sides with given lengths (included angle) IV. If you know the three side-lengths A. I and IV only B. I and II only C. II and III only D. III and IV only

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
Section1.4: Relationships: Perpendicular Lines
Problem 30E
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Answer 1-3 with explanation
1. In solving a triangle, which of the following
conditions can the Law of Cosines be used
1. If you know two angle-measures and one
side-length
II. If you know two side-lengths and measure of
the angle opposite any one of the two sides
with given lengths (nonincluded angle)
III. If you know two side-lengths and measure of
the angle between the sides with given lengths
(included angle)
IV. If you know the three side-lengths
A. I and IV only
B. I and II onl
C. II and III only
D. III and IV only
2. Which of the following statement can not be
solve using trigonometric ratio?
A. Solving right triangle given the length of
hypotenuse and right angle
B. Solving right triangle given the length of one
leg and the measure of one acute angle
C. Solving right triangle given the length of two
legs
D. Solving right triangle given the length of the
hypotenuse and one acute angle
3. Based on the given information determine
the number of unique triangles that may exist.
A = 98°, a = 29, b = 6
A. No triangle
B. 1 triangle
C. 2 triangles
D. 3 triangles
Transcribed Image Text:1. In solving a triangle, which of the following conditions can the Law of Cosines be used 1. If you know two angle-measures and one side-length II. If you know two side-lengths and measure of the angle opposite any one of the two sides with given lengths (nonincluded angle) III. If you know two side-lengths and measure of the angle between the sides with given lengths (included angle) IV. If you know the three side-lengths A. I and IV only B. I and II onl C. II and III only D. III and IV only 2. Which of the following statement can not be solve using trigonometric ratio? A. Solving right triangle given the length of hypotenuse and right angle B. Solving right triangle given the length of one leg and the measure of one acute angle C. Solving right triangle given the length of two legs D. Solving right triangle given the length of the hypotenuse and one acute angle 3. Based on the given information determine the number of unique triangles that may exist. A = 98°, a = 29, b = 6 A. No triangle B. 1 triangle C. 2 triangles D. 3 triangles
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