Respond substantively to the following in a minimum of 175

Respond substantively to the following in a minimum of 175 words: 

This week we learn about triangles. Describe a triangle’s centroid. Why is it important? Where in the triangle is it located? Can it be located on the border or outside the triangle? When or why not? What is the relationship between a triangle’s centroid and its orthocenter? Justify your statements clearly!