Two sides and an angle (SSA) of a triangle are given. Determine whether the give

Question

Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangle, or no triangle at all. Solve each triangle that results a = 6, b = 5, A = 50 degree Selected the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Round side lengths to the nearest tenth 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 C B. There are two possible solutions for the triangle. The measurements for the solution with the smaller angle B are as follows B_1 C_1 The measurements for the solution with the larger angle B are as follows. B_2 C_2 C. There are no possible solutions for this triangle.

Explanation / Answer

a=6 , b=5 ,A=50degree

sin A/a=sinB/b

sin50/6=sinB/5

sinB= 5 sin 50/6

B=39.7degree

C=180-50-39.7=90.3degree

sin A/a=sinC/c

sin 50/6=sin 90.3/c

c=6sin 90.3/sin 50=7.8

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