Perpendicular Bisectors in Triangles
1) Find and label the midpoint of each side of the triangle.
2) Using the Perpendicular line tool, construct a line perpendicular to BC that goes through its midpoint.
3) Repeat this process for the other sides of the triangle.
4) What do you notice about each of the 3 perpendicular bisectors?
This point of concurrency is called the Circumcenter
Find the distance from the circumcenter to each of the vertices. What do you notice?
Now, Move point A so that you have created an obtuse triangle, and then a right triangle. What happens to the circumcenter as the triangle changes?
If the triangle is obtuse, where is the circumcenter located?