Triangle
Centroid
1. The centroid of a triangle is the intersection of the three medians of the triangle .Circumcenter
1. The Circumcenter of a triangle can be found as the intersection of any two of the three perpendicular bisectors .
Experiment with the free-form simulation below:
Use above simulation to answer the following questions?
Q1: Under what condition(s) will centroid, circumcenter, incenter & orthocenter of a triangle be collinear ( lie on a single straight line)?
Q2: Under what condition(s) will centroid, circumcenter, incenter & orthocenter of a triangle be coincident on a single point)?
Q3: Which point is the average of all the points on any triangle? Why?