All of the problems here have an associated Geometer diagram that you can download to make it easy to play with the problems. These files will be useless to you unless you have installed Geometer.
Without further ado, here are some problems, described in English. Download the Geometer file to view the diagram.
Construct a triangle ABC given the length of the side BC and the
lengths of the altitudes from B and C.
Download: Construct1.T
Construct a triangle given one angle, the length of the internal
bisector of that angle, and the radius of the incircle.
Download: Construct2.T
Construct a triangle given the length of one side, the distance
from a vertex of that side to the incenter, and the radius of the
incircle.
Download: Construct3.T
Construct a triangle given the length of a side, an angle
adjacent to that side, and the length of the median from that
angle.
Download: Construct4.T
Email: tomrdavis@earthlink.net.