Solve each triangle ABC that exists. A=40.5° a 8.7 m b = 10.9 m ... Select the correct choice below and, if necessary, fill in the answer boxes within the choice. O A. There is only one possible solution for the triangle. The measurements for the remaining angles B and C and side c are as follows. B% = C = C= (Round to the nearest tenth as needed.) (Round to the nearest tenth as needed.) (Round to the nearest tenth as needed.) O B. There are two possible solutions for the triangle. The measurements for the solution with the longer side c are as follows. B, = (Round to the nearest tenth as needed.) The measurements for the solution with the shorter side c are as follows. B2 =° (Round to the nearest tenth as needed.) C, = (Round to the nearest tenth as needed.) %3D C1 = (Round to the nearest tenth as needed.) %3D C2 =° (Round to the nearest tenth as needed.) %3D C2 = (Round to the nearest tenth as needed.) %3D O C. There are no possible solutions for this triangle.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter53: Introduction To Triangles
Section: Chapter Questions
Problem 29A: Determine the answers to the following exercises which are based on corresponding parts. Identify...
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Question
Solve each triangle ABC that exists.
A=40.5°
a = 8.7 m
b = 10.9 m
...
Select the correct choice below and, if necessary, fill in the answer boxes within the choice.
O A. There is only one possible solution for the triangle.
The measurements for the remaining angles B and C and side c are as follows.
B%=
C =
C=
(Round to the nearest
tenth as needed.)
(Round to the nearest
tenth as needed.)
(Round to the nearest tenth as
needed.)
O B. There are two possible solutions for the triangle.
The measurements for the solution with the longer sidec are as follows.
B, =°
(Round to the nearest
tenth as needed.)
The measurements for the solution with the shorter side c are as follows.
C, =
%3D
%3!
(Round to the nearest
tenth as needed.)
C1 =
(Round to the nearest tenth as
needed.)
B2 =
(Round to the nearest
tenth as needed.)
%3D
C2 =
(Round to the nearest
tenth as needed.)
%3D
(Round to the nearest tenth as
needed.)
O C. There are no possible solutions for this triangle.
Transcribed Image Text:Solve each triangle ABC that exists. A=40.5° a = 8.7 m b = 10.9 m ... Select the correct choice below and, if necessary, fill in the answer boxes within the choice. O A. There is only one possible solution for the triangle. The measurements for the remaining angles B and C and side c are as follows. B%= C = C= (Round to the nearest tenth as needed.) (Round to the nearest tenth as needed.) (Round to the nearest tenth as needed.) O B. There are two possible solutions for the triangle. The measurements for the solution with the longer sidec are as follows. B, =° (Round to the nearest tenth as needed.) The measurements for the solution with the shorter side c are as follows. C, = %3D %3! (Round to the nearest tenth as needed.) C1 = (Round to the nearest tenth as needed.) B2 = (Round to the nearest tenth as needed.) %3D C2 = (Round to the nearest tenth as needed.) %3D (Round to the nearest tenth as needed.) O C. There are no possible solutions for this triangle.
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