Let ABC be a triangle with /ABC < /ACB < 90°.
Let D be a point on side BC such that |AD| = |AC|.
The incircle of triangle ABC is tangent to sides
AC and BC at points P and Q respectively. Let J
be the incenter of triangle ABD.

Prove that line PQ bisects line segment CJ.

(In reply to Solution by Harry)

Thanks Harry! I'm never too sure about what exactly constitutes proof.

But I did notice at the point I reached that a line passing through C parallel to RJ would intersect C2 at S, and that the diagonals of CRJS would then clearly both pass through O, so I felt I'd probably done enough.

Posted by broll on 2010-10-28 04:14:51