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.
![First, draw a triangle. Find the incenter by constructing the angle bisectors.](https://stage.geogebra.org/resource/K6RHcnPk/3CLDfPCvRKnLk0jK/material-K6RHcnPk.png)
Mark the intersection by finding the interscetion of the angle bisectors.
![Mark the intersection by finding the interscetion of the angle bisectors.](https://stage.geogebra.org/resource/HWUnfqTu/IlrT4EdcYwbIBjbm/material-HWUnfqTu.png)
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.](https://stage.geogebra.org/resource/hDGJfGpt/iwBN112QupNmOgwL/material-hDGJfGpt.png)
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.