What's the connection?

Using the diagram below, explore the relationship between the orthocenter, circumcenter and centroid of a triangle.
  • The ORTHOCENTER is the point at which the ALTITUDES of a triangle meet.
  • The CIRCUMCENTER is where the perpendicular bisectors of the sides of a triangle meet.
  • The CENTROID is where the medians of a triangle meet.
  • The INCENTER is where the angle bisectors of a triangle meet.

  • Describe any relationship you found from your exploration above.
  • How would you JUSTIFY what you found analytically? You would need to use your notebook for that!