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Math Help - Pyramid find the value of the height in terms of a side

  1. #1
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    Pyramid find the value of the height in terms of a side

    The picture: http://i55.tinypic.com/n324ip.png

    The problem:
    The pyramid above has altitude h and a square base of side m. The four edges that meet at V, the vertex of the pyramid, each having length e. If e=m, what is the value of h in terms of m

    Question: The book i got this problem from already gives the answer (m/) but gives no explanation on how to solve it. I am having trouble finding a way to get that answer.
    Help would be appreciated.
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  2. #2
    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by yety124 View Post
    The picture: http://i55.tinypic.com/n324ip.png

    The problem:
    The pyramid above has altitude h and a square base of side m. The four edges that meet at V, the vertex of the pyramid, each having length e. If e=m, what is the value of h in terms of m

    Question: The book i got this problem from already gives the answer (m/) but gives no explanation on how to solve it. I am having trouble finding a way to get that answer.
    Help would be appreciated.
    drop a perpendicular from V to the square base and call the foot of perpendicular as K. note that K is the centre of the square base(prove it). then use pythagoras theorem.
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  3. #3
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    thanks for the reply, but i dont really get it, by perpendicular does that mean a line from v to center of the square? And what does "prove it" mean, do i use Pythagoras or another equation?
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  4. #4
    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by yety124 View Post
    thanks for the reply, but i dont really get it, by perpendicular does that mean a line from v to center of the square? And what does "prove it" mean, do i use Pythagoras or another equation?
    the base of the pyramid is a square... V is a point in space. now we are dropping a perpendicular to the base from V. the foot of perpendicular HAPPENS to be the centre of the square base and this is what has to be proved when i said "prove it".
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