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Math Help - How do I find sidelength FG of triangle?

  1. #1
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    How do I find sidelength FG of triangle?

    How do I find FG?
    Can anyone help?
    How do I find sidelength FG of triangle?-math1.jpg
    Last edited by mr fantastic; April 10th 2011 at 04:29 AM. Reason: Title.
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  2. #2
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    Indication:

    Use cosine theorem (also known as generalization of the Pythagorean theorem).
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    Quote Originally Posted by xerito View Post
    How do I find FG?
    Can anyone help?
    Click image for larger version. 

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    1. Split the triangle into 2 congruent 30-60-right-triangles. That means h = 5.

    2. FG = 2x

    x^2+5^2=10^2~\implies~x=5\sqrt{3}

    Therefore FG = 10\sqrt{3}
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