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Incircle Bisector (Posted on 2010-10-23) Difficulty: 3 of 5
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.

See The Solution Submitted by Bractals    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution Comment 3 of 3 |
(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
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