1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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.

    http://img81.imageshack.us/img81/9503/problemny6.th.jpg [Broken]

    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.

    Last edited by a moderator: May 2, 2017
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted