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. How do we construct all these with compass and straight edge? (In particular, the incircle...)[br]2. The centroid (center of gravity) splits each median into a certain ratio. What is the ratio and why is it so?[br]3. Which of these centers can be outside of the triangle? When does that happen?[br]4. Which three of the centers are collinear? What is that line called and what is the length ratio split by those three points?