Exploring Circumcenters
The three perpendicular bisectors are shown (in green) in the triangle.The intersection of the perpendicular bisectors is called the circumcenter.
The length segments from the circumcenter to the vertices is shown. As you change the shape of the triangle, what do you notice about the lengths of those segments?
Construct a circle centered at the circumcenter with the radius to a vertex. Drag the triangle. What do you notice about the circle?
Location of the Circumcenter
Click and drag one vertex (the blue points) of the triangle to see how the circumcenter location changes. Then answer the questions below.
Question 1
For what type of triangle is the circumcenter on the triangle?
Question 2
For what type of triangle is the circumcenter inside the triangle?
Question 3
For what type of triangle is the circumcenter outside the triangle?