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Math Help - area of the triangle

  1. #1
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    area of the triangle

    hello all!
    If anybody could helo i'd appreciate it!
    For B=28degrees50minutes, a=13.5, b=8
    I got that it was an ambiguous case and had 1 solution. Just wanted to see if I got that correct...


    Also solve this triangle....

    B=36.9degree
    b=5.40
    a=19.9

    I got that it would not have a solution b/c it give you like 2.2 and once you do the arcsin, it falls outside of the interval (-1,1)....I just wanted to see if that was correct?


    thanks so much!!!!!!
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  2. #2
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    Quote Originally Posted by amanda0603 View Post
    hello all!
    If anybody could helo i'd appreciate it!
    For B=28degrees50minutes, a=13.5, b=8
    I got that it was an ambiguous case and had 1 solution. Just wanted to see if I got that correct...

    two solutions, because
    \textcolor{red}{a\sin{B} < b < a}


    Also solve this triangle....

    B=36.9degree
    b=5.40
    a=19.9

    I got that it would not have a solution b/c it give you like 2.2 and once you do the arcsin, it falls outside of the interval (-1,1)....I just wanted to see if that was correct?

    correct, no triangle is possible because
    \textcolor{red}{b < a\sin{B}}

    .
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