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Ratios of Segments

  1. Jan 1, 2007 #1
    1. The problem statement, all variables and given/known data

    For triangle XYZ, point P divides XZ in the ratio 3:1 and Q is the midpoint of XY. If R is the point of intersection of PY and QZ, find the ratio into which R divides PY.

    2. Relevant equations

    This is the only equation that may pertain to this that I can think of.
    For line segment APB, vector OP= b/(a+b) OA + a/(a+b) OB, where O is any point and and b are the ratios.

    3. The attempt at a solution

    I really need help, this is all i can come up with.

    we are looking for PR:RY

    RP=1/4 RX + 3/4 RZ
    RQ=1/2 RX + 1/2 RY

    and RP, RZ, RQ, AND RY are vectors

    help please
  2. jcsd
  3. Jan 5, 2007 #2
    are there any ideas? Is there something else I can tell you about this problem.
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