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Math · Trigonometry
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Solve the triangle​ ABC, if the triangle exists.

B = 36 degrees 24'     a = 39.7      b = 33.7

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

A. There are 2 possible solutions for the triangle.

The measurements for the solution with the longer side c are as follows.

mangleA = _______degrees ______' mangleC = _____degrees ______' (Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as​ needed.)

The length of side c = ______ ​(Round to the nearest tenth as​ needed.)

The measurements for the solution with the shorter side c are as follows.

mangleA =  ______degrees _____' mangleC = ______degrees ______' (Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as​ needed.)

The length of side c = ______  ​(Round to the nearest tenth as​ needed.)

B. There is only 1 possible solution for the triangle.

The measurements for the remaining angles A and C and side c are as follows.

mangleA = _____degrees _____' mangleC = ______degrees _____' (Simplify your answer. Round to the nearest degree as needed. Round to the nearest minute as​ needed.)

The length of side c = ______ ​​(Round to the nearest tenth as​ needed.)

C. There are no possible solutions for this triangle.

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