Special points and lines in a triangle
Relation between special lines and points in a triangle.
The triangle's vertices can be dragged to form different triangles.
Here are some questions that you can think about....
1. The centroid (center of gravity) splits each median into a certain ratio. What is the ratio and why is it so?
2. Which of these centers can be outside of the triangle? When does that happen?
3. Which three of the centers are collinear? What is that line called and what is the length ratio split by those three points?
4. For what type of triangle is the altitude a side of the triangle?
5. For what kind of triangle does one angle bisector lie on top of one perpendicular bisector lie on top of one median lie on top of one altitude?
6. For what kind of the points of concurrency the same?