Angle Bisectors in Triangles
1) Use your geogebra tools to create an angle bisector for angle A.
2) Repeat this process for angle B, and C.
3) What do you notice about all 3 angle bisectors?
This point of concurrency is called the Incenter.
Use our distance tool to find the distance from the incenter to each side of the triangle. What do you notice? Now, move point A so that the triangle is obtuse, and then again to make it a right triangle. What happens to the incenter as the triangle changes?
Where is the incenter always located?