Solve the SSA triangle Indicate whether the given measuremen

Solve the SSA triangle. Indicate whether the given measurements result in no triangle, one triangle, or two triangles. Solve each resulting triangle. Round each answer to the nearest tenth. A = 96 degree a =40 b = 33 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. 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 = degree C = degree C = (Round to the nearest tenth as needed.) There are two possible solutions for the triangle. The measurements for the solution with the longer side c are as follows. B_1 = degree C_1 = degree C_1 = The measurements for the solution with the shorter side c are as follows. b_2 = degree C_2 = degree C_2 = (Round to the nearest tenth as needed.) There are no possible solutions for this triangle.

Solution

a/sinA = b/sinB

40/sin96 = 33/sinB => B = 55.133

C = 180 - 96 - 55.133 = 28.867

c = asinC/sinA = 40 sin28.867/sin96 = 19.42

(only one possible triangle)