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Math Help - Straight 3-sided pyramid

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    Member courteous's Avatar
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    Question Straight 3-sided pyramid

    Base of the pyramid is a triangle with a = 5 and angles alpha = 47, beta = 53. The angle between side edge and the base phi (φ) = 50. What's the pyramid's height (and volume)? Being a straight pyramid, it does mean that side edges are equal in length, right?


    What am I missing here? Does the pyramid height cross the "altitude point" of the triangle (the point where the triangle's altitudes intersect; is "altitude point" the right word?)? Is there anything about the crossing of "branch"/"leg" of the phi angle and the a side of the triangle?
    Last edited by courteous; September 6th 2008 at 05:28 AM. Reason: "branch" (of an angle) is also "leg" (of an angle)?
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