Use the construction below to investigate the centroid of a triangle and answer the questions below.
1. What are the 3 segments constructed to form the centroid of a triangle?
2. What is special about the centroid of a triangle?
3. What is the location of the centroid compared to the triangle, when the triangle is acute?
4. What is the location of the centroid compared to the triangle, when the triangle is obtuse?
5. What is the location of the centroid compared to the triangle, when the triangle is right?