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 triangles, or no triangle at all. Solve each triangle that results. a = 8, b = 2, A = 80 degree Selected the correct choice below and, if, fill in the answer boxes to complete your choice. A. There is only one positive solution for the triangle. B almostequalto degree C almostequalto degree B. There are two possible solutions for the triangle. The measurements for the solution with the smaller angle B are as follows. B_1 almostequalto degree C_1 almostequalto degree The measurements for the solution with the the larger angle B are as follows. B_2 almostequalto degree C_2 almostequalto degree C. There are no possible solutions for this triangles.

Explanation / Answer

a=8,b=2,A=80degree

sin A/a=sinB/b

sin 80/8=sinB/2

B=14degree

C=180-A-B=86degree

sinA/a=sinC/c

sin80/8=sin86/c

c=8.1

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