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Math Help - Triangle

  1. #1
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    Triangle



    Where does the square root 3 come from. I get the height to s^2 = H^2 + (s/2)^2 ==>

    H = s/2 ==> A = B * H (B = s ) so (S*S)/(2 * 2) ==> A = s^2 / 4 ,,,where do i
    get the square root 3.


    Thank you for your help
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  2. #2
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    Being able to see the triangle would be nice...
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  3. #3
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    All sides are equal,,they are all s
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    I just want to know where the square root 3 comes from in the formula,, the formula is for calculating the Area of a trinagle where all sides are the same lenght.
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  6. #6
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    Quote Originally Posted by Makron View Post
    I just want to know where the square root 3 comes from in the formula,, the formula is for calculating the Area of a trinagle where all sides are the same lenght.
    remember the relationships betwen the sides of a 30-60-90 triangle?

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  7. #7
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    Quote Originally Posted by Makron View Post


    Where does the square root 3 come from. I get the height to s^2 = H^2 + (s/2)^2 ==>

    H = s/2 ==> A = B * H (B = s ) so (S*S)/(2 * 2) ==> A = s^2 / 4 ,,,where do i

    get the square root 3.

    Thank you for your help
    Check your calculation.

    s^2 = H^2 + (s/2)^2 ==> H^2 = s^2 - s^2/4 = ......?
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  8. #8
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    Quote Originally Posted by Makron View Post
    I just want to know where the square root 3 comes from in the formula,, the formula is for calculating the Area of a trinagle where all sides are the same lenght.
    Of course, if you'd bothered to do as suggested, and make use of Heron's Formula, the appearance of \displaystyle \sqrt{3} is obvious...
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