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Finding xyz coords of

  1. Nov 23, 2003 #1
    Finding xyz coords of....

    Given: ABC is an isosceles triangle; AB=BC; A(x,y,z); B(x',y',z'); m<ABC=m

    I need, based on this information, a way to get the xyz coordinates of C. It's for a computer program I'm writing, and I'm afraid I'm rather unknowlegable about how to solve this type of problem- could someone please give me (an) equation(s) for this? The way those equation(s) work would be appreciated as well, but the equation(s) by themselves are all I really NEED.

    Thank you very much.
     
  2. jcsd
  3. Nov 23, 2003 #2

    Integral

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    Unfortunately, given that you have expressed this in 3d space you will not be able to find a unique point which completes your triangle. There will be infinitely many triangles, each laying in a different plane.

    I am not sure what your constriction
    m<ABC=m

    means, could you elaborate on that?
     
  4. Nov 23, 2003 #3
    Ah yes, such a silly mistake. I assumed I would need xyz coords since the program deals with 3d space, but the triangle is on a plane... I actually only require xy coords.

    And by m<ABC=m I meant "measure of angle ABC = m". Since I am unaware of the way to type a proper angle symbol, I used < :P.
     
  5. Nov 24, 2003 #4

    Hurkyl

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    Well, if angle B has measure m, then the other two angles have measure 90-m/2. Does that help?

    (Also, B must lie on the perpendicular bisector of AC)
     
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