Put a Circle in a Triangle
Draw a triangle (use the 5th tab).
First, draw a triangle. Find the incenter by constructing the angle bisectors.
Mark the intersection by finding the interscetion of the angle bisectors.
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.