how/where would i use incenter, orthocenter, circumcenter, and centroid in real life situations?

Answer 1

maybe in archetecture

Answer 2

Centroid- you could use centroid for balancing objects on a point. For example, balancing a triangle on a marker. You would use the centroid for this.
All of the points of concurrency help you find measurements, but orthocenter was said to be one of the less used points of concurrency, so my teacher did not have us look for orthocenter.