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Math Help - Pyramids

  1. #1
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    Pyramids

    Help please, I only know how to do pyramids with square bases. I don't know with triangular, hexagonal etc.

    An edge of the base of a regular triangular pyramid is 12cm. Find the slant height and the total area if the altitude of the pyramid is 20cm.

    Could you also show it when it is a hexagonal base?

    Also please show me how to draw the figure and where are the corresponding parts (slant height, height, edge etc.)

    Thank you!
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  2. #2
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    Quote Originally Posted by reiward View Post
    An edge of the base of a regular triangular pyramid is 12cm. Find the slant height and the total area if the altitude of the pyramid is 20cm.
    In a regular triangular pyramid, each triangle is a equilateral triangle.
    The base is given, Find the perpendicular distance (median) from vertex to the base. Altitude cuts this line in 2:1 ratio. Using the altitude and 1/3rd of the median, find the height of the slant face. From that you can find the area of each face.
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