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Math Help - Finding area and angle of triangle

  1. #1
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    Finding area and angle of triangle

    In the usual notation for a triangle, b =6 cm, c =10cm and B = 30degrees.
    Show that there are two possible values for C, and find the area of the triangle in each case.

    I dont get how there are 2 values for C. I've used the sin rule to get C 47.83degrees. How do I do this?
    thanks
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  2. #2
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    Quote Originally Posted by Detanon View Post
    In the usual notation for a triangle, b =6 cm, c =10cm and B = 30degrees.
    Show that there are two possible values for C, and find the area of the triangle in each case.

    I dont get how there are 2 values for C. I've used the sin rule to get C 47.83degrees. How do I do this?
    thanks
    Hint for two possible values for C: \sin (\pi - \theta) = \sin \theta

    Hint for the area: Area = \frac12 bc \sin A = \frac12 bc \sin (\pi - B - C)
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