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 = 11, b=21, A=70°

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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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 = 11, b=21, A=70°
possible
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.)
O 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≈
O
C≈
OB. There are two possible solutions for the triangle.
O
The measurements for the solution with the the smaller angle B are
as follows.
O
C≈
B₁ ~
C₁~
C₁~
The measurements for the solution with the the larger angle B are as
follows.
B₂ ~
C₂~
OC. There are no possible solutions for this triangle.
O
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 = 11, b=21, A=70° possible 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.) O 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≈ O C≈ OB. There are two possible solutions for the triangle. O The measurements for the solution with the the smaller angle B are as follows. O C≈ B₁ ~ C₁~ C₁~ The measurements for the solution with the the larger angle B are as follows. B₂ ~ C₂~ OC. There are no possible solutions for this triangle. O
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