1. Could the centroid be outside the triangle?
2. Could the incenter be outside the triangle?
3. Could the circumcenter be outside the triangle?
4. Where is the orthocenter of a right triangle?
5. In what type of triangle could the incenter, circumcenter, centroid and orthocenter be
different points, yet all lie on the same line?
1. No.
2. No.
3. Yes.
4. At the right angle.
5. An isosceles triangle which is not an equilateral triangle.