Incenter of a Triangle
Incenter of a triangle
1. Create the midpoint of each side of the triangle.
2. Create an angle bisector for each angle of the triangle.
You should note that all of the angle bisectors intersect at a single point. Label this point O.
Point O is called the incenter of a triangle.
3. Create a line through point O that is perpendicular to one side of the triangle.
Mark as point P the point where the perpendicular line intersects the side.
4. Create a circle with radius OP.
What do you notice?
What are the properties of the incenter of a triangle?