Detailed steps for drawing inscribed circles of triangles using geometric sketchpad

1. Select the [Line Segment Ruler Tool] to construct a triangle ABC.

#2. Construct the angle bisector. Select points A, B, and C in sequence, select the [Construction]-[Angle Bisector] command to make the angle bisector of angle ABC. Use the same method to draw the angle bisector of angle BAC, paying attention to the order of selecting points. Click on the intersection point of the two angle bisectors and name it D.

3. Construct a vertical line. Select point D, line segment AB, and select the [Construction]-[Perpendicular Line] command. This vertical line intersects segment AB at point E.

#4. Draw the inscribed circle of the triangle. Select point D and point E, select [Construction] - [Center and Points on Circle] command to create a circle, and obtain the inscribed circle of the triangle. Select the angle bisector of angle ABC, the angle bisector of angle BAC and the perpendicular of line segment AB and perform the hide operation to obtain the shape as shown in the figure.

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