Perpendicular Bisectors in Triangles

1) Find and label the midpoint of each side of the triangle. [br]2) Using the Perpendicular line tool, construct a line perpendicular to BC that goes through its midpoint.[br]3) Repeat this process for the other sides of the triangle. [br]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?[br]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?

On the hypotenuse On the vertex Outside the triangle Inside the triangle

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Informaţie: Perpendicular Bisectors in Triangles