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Math Help - Finding Side's and diagonals with A

  1. #1
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    Finding Side's and diagonals with A

    I'm going back to college after 5 years and am having a little trouble with geometry, one that i haven't been able to find an answer for is split into 3 parts;

    A) What is the diagonal of a square who's side is A?

    B) What is the side of a square whose diagonal is A?

    C) Find the area of an equilateral triangle whose side is A.

    I got the first one, but haven't been able to get the second ones. I assume I'm using the Pythagorean Theorem, but haven't been able to get it. If you could write out the steps it would help a lot. Thank you.
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  2. #2
    Senior Member BAdhi's Avatar
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    from A) itself you can get the answer for B),

    in general let's take the diagonal of a square is p and a side of a square is q, then the relationship between these two components can be expressed from the pythogoras theorem,

    q^2+q^2=p^2
    2q^2=p^2
    \sqrt{2}q=p (since p, q are positive)

    now substitute A with p or q according to the question asked

    use the same theory to find the area of the triangle, for that you'll have to draw a line from one corner of the triangle which is perpendicular to the side which is facing that corner.
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  3. #3
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    Hi gdied,
    For C look up properties of equilateral triangles.Calculate area after finding the altitude
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