Put a Circle in a Triangle

Topic:
Circle

Draw a triangle (use the 5th tab).

First, draw a triangle. Find the incenter by constructing the angle bisectors.

First, draw a triangle.  Find the incenter by constructing the angle bisectors.

Mark the intersection by finding the interscetion of the angle bisectors.

Mark the intersection by finding the interscetion of the angle bisectors.
Also, find the intersection of each side with the opposite angle bisector.

Draw a circle with the incenter as the center and the point of intersection of an angle bisector and a side.

Draw a circle with the incenter as the center and the point of intersection of an angle bisector and a side.
You should find the circle intersects each side of the triangle at the angle bisector. Why do you think this is true? Measure segments to support your conjecture.