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Math Help - Two Questions of Triangles and Apothem

  1. #1
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    Two Questions of Triangles and Apothem

    Two Questions of Triangles and Apothem-tri.png
    How do I find the area for this? Not looking for a complete solution, just the formula

    Also, second question, I'm giving the areas of two octagons, 81 and 144, and asked to find the ratio of their apothems, how do I do that?
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  2. #2
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    Re: Two Questions of Triangles and Apothem

    Quote Originally Posted by Proclivitas View Post
    Click image for larger version. 

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    How do I find the area for this? Not looking for a complete solution, just the formula

    Also, second question, I'm giving the areas of two octagons, 81 and 144, and asked to find the ratio of their apothems, how do I do that?
    Area of triangle

    Area of octagon
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  3. #3
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    Re: Two Questions of Triangles and Apothem

    Quote Originally Posted by princeps View Post
    Doesn't really help me much since there is terminology which I don't understand.
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  4. #4
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    Re: Two Questions of Triangles and Apothem

    There is a formula which says that if you know 2 sides of a triangle and the angle in between those sides then
    the area = 1/2 of one side times the other times the sine of the angle, that is 1/2absinx
    If two similar shapes have sides ( or any other similar line measurements) in the ratio p:q then the areas will be in the ratio p^2:q^2. Here you are given the ratio of the areas so can work back to ratio of lengths. The ratio of volumes would be p^3:q^3
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