# Triangle Construction 2 - Given 2 sides and median

- Author:
- Tibor Marcinek

Construct a triangle ABC such that XY AC and WZ m

_{c }. In other words, you need to construct ΔABC on the given segment AB such that AC ≅ XY and the median falling on AB is congruent to WZ. Note: Segments XY and WZ should stay where they are. Do not move them.Manipulate segments AB, WZ and XY 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?