Circumcenter4
Circumcenter 4
A triangle is drawn below with the centroid T, orthocenter O, and circumcenter C.
What do you notice about points C,T,and O, when you drag a vertex of the triangle?
For each type of triangle acute, obtuse, and right, describe the locations of all three points.
Notice the ratio of CT/CO, label as ratio, what do you notice about the ratio as the triangle changes shape? What type of triangle occurs when all three points are aligned?