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Math Help - square based pyramid angle

  1. #1
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    square based pyramid angle

    Hi,

    so there is a pyramid with a square base. The sides of the square base all measure 2m and the height if the pyramid is 05 metre. what is the length sides of the triangular pieces?

    Since I have two measurements, 0.5 and 2 I am thinking I can use a^+b^2=c^2?
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    You are right! You can use the Pythagoras's theorem!

    Keep thinking...
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  3. #3
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    Quote Originally Posted by Chr2010 View Post
    Hi,

    so there is a pyramid with a square base. The sides of the square base all measure 2m and the height if the pyramid is 05 metre. what is the length sides of the triangular pieces?

    Since I have two measurements, 0.5 and 2 I am thinking I can use a^2+b^2=c^2?

    If you use \displaystyle a^2+b^2=c^2 with 0.5m and 1.0m, you will find the altitude of one of the face triangles.

    Form a triangle with the verticies at the top point of the pyramid, the point at the center of the base, and a point at a corner of the base.
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  4. #4
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    Would I have to divide my base 2m by 2? I am picturing a sting that has fallen from the top of the pyramid and it would only reach to the middle of the floor, so would my base be now 1 metre
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  5. #5
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    Quote Originally Posted by Chr2010 View Post
    Would I have to divide my base 2m by 2? I am picturing a sting that has fallen from the top of the pyramid and it would only reach to the middle of the floor, so would my base be now 1 metre

    It depends upon which triangle you're talking about.
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