Given a triangle ABC, how can you find a point P on AC and a point Q on BC, such that AP=PQ=QB?

N.B. A construction method is sought, and only compass and straightedge are allowed.

(In reply to re: May not be possible by Charlie)

"P between A and C and Q between B and C" is not explicitly required by the problem statement, so if we interpret AC and BC as infinite lines, the problem appears to always have a solution.

Posted by Richard on 2005-04-27 20:00:31