# Triangle Construction 4 - Given side, height & median

- Author:
- Tibor Marcinek

Construct ΔABC such that m

_{c}XY and h_{c}WZ. In other words, your triangle ABC should be constructed on the given segment AB, where the median falling on AB is congruent to XY and the height falling on AB is congruent to WZ. Note: Segments XY and WZ should stay where they are. Do not move them to the segment AB.Manipulate segments AB, WZ and ZY to discuss the construction:

- Can the problem have 0, 1, 2, 3 or more solutions? When?
- What is the minimum number of solutions? When does it happen?
- What is the maximum number of solutions? When does it happen?