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Traingle theorem (optimisation again)

  1. May 26, 2007 #1
    1. The problem statement, all variables and given/known data
    The isosceles triangle PQR is inscribed in a circle of radius 6 metres. The centre of the circle is O and the midpoint of the base QR is at M. PQ=PR and angle QPR=Ө.

    [​IMG]


    Show that QM=6sinӨ and PM=6(1+cosӨ)

    3. The attempt at a solution
    It is an isosceles triangle and therefore one of the sides is unequal.
    Also, given we are told the radius:
    PO = QO = OR = 6m

    How can I interperet this to form the equations in terms of Ө??
    Perhaps I could create right, angled triangles and use basic trig to solve it but i am not quite sure how?
    If anyone could point me in the right direction it would be appreciated.

    cheers
    Steven
     
    Last edited: May 27, 2007
  2. jcsd
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