1. | ![]() | Create a triangle ABC using the Polygon tool. |
2. | ![]() | Select the Angle Bisector tool and create the angle bisector for two angles of the triangle. Hint: Selecting the three points A, B, and C produces the angle bisector of the enclosed angle. |
3. | ![]() | Create the intersection point D of the two angle bisectors using the Intersect tool. |
4. | ![]() | Select the Perpendicular Line tool and create a perpendicular line to one side of the triangle, through point D. |
5. | ![]() | Create the intersection point E of the perpendicular line and the chosen side of the triangle using the Intersect tool. |
6. | ![]() | Select the Circle with Center tool and construct the incircle with center D through point E. |
7. | ![]() | Hide the auxiliary lines used for the construction. |
8. | ![]() | Connect points D and E using the Segment tool to display the radius of the incircle. |
9. | ![]() | Show the right angle between the incircle's radius and the corresponding side of the triangle using the Angle tool. |
10. | ![]() | Select the Move tool and drag the vertices of the triangle to check if your construction is correct. |