Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. a 12, b 26, A = 40° Selected the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Round side lengths to the nearest tenth and angle measurements to the nearest degree as needed.) ○ A. There is only one possible solution for the triangle. The measurements for the remaining side c and angles B and C are as follows. B≈ ○ B. There are two possible solutions for the triangle. The measurements for the solution with the the smaller angle B are as follows. B₁≈ C₁ The measurements for the solution with the the larger angle B are as follows. B₁₂ ༤ C ། ༤ ༡༤ C≈ O C. There are no possible solutions for this triangle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.1: Circles And Related Segments And Angles
Problem 29E: An amusement park ride the Octopus has eight support arms that are equally spaced about a circle....
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Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results.
a 12, b 26, A = 40°
Selected the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Round side lengths to the nearest tenth and angle measurements to the nearest degree as needed.)
○ A. There is only one possible solution for the triangle.
The measurements for the remaining side c and angles B and C are as follows.
B≈
○ B. There are two possible solutions for the triangle.
The measurements for the solution with the the smaller angle B are as follows.
B₁≈
C₁
The measurements for the solution with the the larger angle B are as follows.
B₁₂
༤
C
། ༤
༡༤
C≈
O C. There are no possible solutions for this triangle.
Transcribed Image Text:Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. a 12, b 26, A = 40° Selected the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Round side lengths to the nearest tenth and angle measurements to the nearest degree as needed.) ○ A. There is only one possible solution for the triangle. The measurements for the remaining side c and angles B and C are as follows. B≈ ○ B. There are two possible solutions for the triangle. The measurements for the solution with the the smaller angle B are as follows. B₁≈ C₁ The measurements for the solution with the the larger angle B are as follows. B₁₂ ༤ C ། ༤ ༡༤ C≈ O C. There are no possible solutions for this triangle.
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