This page uses

The original sketch triangleexploration.gsp.

This triangle can be used to investigate many characteristics of a triangle. Some examples below:

- Investigate relationships between side lengths and angle measures.
- Find relationships between the squares of the side lengths and the angle type of the triangle.
- Gather side-angle data for each of the seven types of triangle.
- Investigate congruency theorems. For example: Give students two side lengths and an angle measurement, how many triangles can be constructed?
- Try out Heron's Law.
- Investigate area.

triangleexploration2

Types: (Acute) Equilateral, Acute Isosceles, Acute Scalene, Right Isosceles, Right Scalene, Obtuse Isosceles, Obtuse Scalene.