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Triangle Problem

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

    Bisectors of angles A and C of triangle ABC intersect the circumcircle
    of this triangle at points P and Q, respectively. The straight
    line passing through the incentre (I) of ABC and parallel to AC intersects
    the line PQ at point Z. Prove that a) the angle BZQ =QZI
    b) the line ZB is tangent to the circumcircle

    2. Relevant equations
    Not many equations, maybe the chord theorems, and the congruence tests.

    3. The attempt at a solution

    Well for 'a' we just need to prove if BI is perpendicular to PQ
    we know ZQA is equal to c/2
    Last edited: Oct 1, 2007
  2. jcsd
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