Introduction to the method of accurately constructing an isosceles triangle using geometric sketchpad

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Construct an isosceles triangle with interior angles of 50°, 50°, and 80°, which can be controlled using the parameter method. The specific operation is as follows:

Create the base angle parameters. Open the geometric sketchpad, execute the [Data] - [Create Parameters] command, enter [Base Angle], [50] in the pop-up dialog box, and click OK to establish the base angle parameters. Execute the [Data]-[Calculate] command and record the values ​​as shown in the figure in the pop-up dialog box.

Draw the top corners. Select the [Line Segment Tool] on the left sidebar, draw any line segment on the drawing board, select an endpoint of the line segment and double-click it to set it as the center of rotation. Select the line segment, execute the [Transform] - [Rotate] command, click the previous calculated value in the pop-up dialog box, use it as the rotation angle, and click [Rotate].

Construct the bottom edge. Select the other two endpoints above the waist of the triangle and execute the [Construction] - [Line Segment] command to get an isosceles triangle, as shown in the figure.

Tips:

Use parameters to control the base angle for easy modification. As long as it is an isosceles triangle that satisfies the interior angle sum theorem, you only need to change the number of base angles. into (as shown in the figure). In the same way, an isosceles triangle can be made using parameters to control the vertex angles.

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