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12 January, 01:27

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. C = 71°, a = 27, c = 26

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  1. 12 January, 02:26
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    We have

    SinC / c = Sin A / a

    Sin 71 / 26 = Sin A / 27

    Sin A = 27 Sin 71 / 26 = about. 982

    So°

    Sin-1 (.982) = A = 79. 08°

    Then angle B = 180 - 71 - 79.08 = 29.92°

    And b is given by

    b/sin29.92 = 26/sin 71

    b = 26sin29.92/sin71 = about 13.72

    But A could also be an obtuse angle = 180 - 79.08 = 100.92°

    So we have

    B = 180 - 71 - 100.92 = 8.08°

    And we have

    b / sin 8.08 = 26/sin71

    b = 26sin8.08/sin 71 = 3.865
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