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