l,m,n are three concurrent line concurrent at point A. Given a point B on line l. Is it possible to construct point C on line n such that line m is a median of triangle ABC
There are two cases.In one of the cases it is possible for m to be median.In the other case it is not.
Case 1: When l,m,n are taken in sequence then we can have m as median. By using compass we find two points C, C' on line n which are at same distance from A as distance of B from A.
Case 2:While in this case line m becomes an external line. So not possible to find any c on n as median.