Results 1 to 2 of 2

Math Help - Straight 3-sided pyramid

  1. #1
    Aug 2008

    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?

    Exoneration: I'm reposting my thread, as it seems less precarious than bumping the old one. I also can't come up with any new idea.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie unbread's Avatar
    Sep 2008

    Need more info

    Where is alpha? Where is beta? Is alpha at vertex A and beta at vertex B? If so, you need to point that out. Is a the altitude of the the base triangle ABC? Is that line on the base even an altitude? What are all the A's around the pyramid. is a=5 as stated in the text or 6 as stated on the paper?

    I've never heard of a straight pyramid. There are right pyramids.

    The point where altitudes intersect is called the orthocenter.

    Even if I make the given assumptions above that I stated, there is still not enough information to solve the problem. If the apex was directly above the orthocenter of the base, then this problem could be solved (not that it would be easy), but I (we) am not told this as a given.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. 10 Sided Die
    Posted in the Statistics Forum
    Replies: 7
    Last Post: October 16th 2010, 06:07 PM
  2. 29-sided die
    Posted in the Statistics Forum
    Replies: 2
    Last Post: July 25th 2009, 07:48 PM
  3. Straight 3-sided pyramid
    Posted in the Geometry Forum
    Replies: 0
    Last Post: September 6th 2008, 12:34 AM
  4. 8 sided die
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: April 5th 2007, 01:48 PM
  5. Six-sided Die
    Posted in the Statistics Forum
    Replies: 5
    Last Post: January 23rd 2007, 05:47 PM

Search Tags

/mathhelpforum @mathhelpforum