Solve the triangle ABC, if the triangle exists.

B = 30 degrees 48 ' a = 38.1 b = 31.2

Select the correct choice below and fill in the answer boxes within the choice.

A. There is only 1 possible solution for the triangle. The measurements for the remaining angles A and C and side c are as follows. mangleAequals nothingdegrees nothingprime mangleCequals nothingdegrees nothingprime The length of side cequals nothing (Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as needed.) (Round to the nearest tenth as needed.)

B. There are 2 possible solutions for the triangle. The measurements for the solution with the longer side c are as follows. mangleAequals nothingdegrees nothingprime mangleCequals nothingdegrees nothingprime The length of side cequals nothing (Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as needed.) (Round to the nearest tenth as needed.) The measurements for the solution with the shorter side c are as follows. mangleAequals nothingdegrees nothingprime mangleCequals nothingdegrees nothingprime The length of side cequals nothing (Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as needed.) (Round to the nearest tenth as needed.)

C. There are no possible solutions for this triangle.

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