How to draw the circumcircle of a right triangle using geometric sketchpad

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Construct a right triangle. Open the geometric sketchpad, click the [Custom Tools] button on the left sidebar, select [Triangle] - [Right Triangle] in the pop-up shortcut tool menu, and draw a right triangle as shown in the figure below in the sketchpad working area.

Construct the midpoint. Select line segment AB and line segment BC in turn, execute the [Construction]-[Midpoint] command, and midpoints D and E will appear on line segment AB and line segment BC respectively.

Construct a vertical bisector. Select line segment AB and point D, execute the [Construction]-[Perpendicular Line] command to make the perpendicular bisector of line segment AB. Use the same method to construct the perpendicular line BC passing through point E. The intersection of two perpendicular bisectors is marked [O].

Tip: At this time, you will find that the center of the circumcircle of the right triangle is exactly on the hypotenuse. After measurement, it is found that it is at the midpoint of the hypotenuse. Therefore, you can also skip the above steps and directly construct the midpoint of the hypotenuse.

Construct a circumscribed circle. First hide the perpendicular bisector, select points B and O to construct the line segment, then select point O and line segment BO in turn, execute the [Construct] - [Draw a circle with center and radius] command, thus constructing a circumscribed circle, as shown in the figure shown.

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