# Triangle Construction 1 - Given 3 sides

- Author:
- Tibor Marcinek

Construct ΔABC such that AC ≅ XY and BC ≅ WZ. Note: Segments XY and WZ should stay where they are. Do not move them. Construct your triangle(s) on the given segment AB. After your construction, manipulate segments AB, WZ and XY and discuss:

- 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?