Activity B: Angle Bisectors
All three angle bisectors of a triangle will intersect at the same point - the incenter. Let the incenter be point I in the diagram.
6) Do all of the angle bisectors meet at a point? (Drag the vertices of the triangle to create a variety of triangles to check if this is always true) 7) Will the incenter always be located inside of the triangle? Why or why not? 8) What can you conclude about the location of the incenter based on the type of triangle? 9) The incenter is the center of the circle that is inscribed inside a triangle. What does it mean for a circle to be inscribed in a triangle? 10) How would you describe, in words, the length of the radius of the circle that is inscribed in a triangle? (Use point G to help with your description)