How to draw Lello triangle using geometric sketchpad

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Step 1 Draw an equilateral triangle

Click the geometric sketchpad, click the [Custom Tools] button on the left sidebar, and select [Triangle] - [Equilateral Triangle] from the pop-up tool shortcut menu. .

After selecting the above tools, click once with the mouse in the blank area of ​​the drawing board to determine the vertices of the equilateral triangle. At this time, hold down the [Shift] key and drag the mouse, and click at the appropriate location. In one click, you can draw an equilateral triangle as shown below.

Step 2 Construct the circle

Use the move tool to select point A and side length AB, click the [Construction] menu in the upper menu bar, and select [With] from the drop-down option Draw a circle with the center and radius], thus constructing circle A.

Draw a circle with the other two vertices of the equilateral triangle as the center and the length of the side as the radius, and you will get the figure as shown in the figure.

Step 3 Draw the Lello triangle

Construct the arc on the circle. Use the mouse to select points C, A and circle B in sequence, execute the [Construction] - [Arc on Circle] command to construct arc AC; use the mouse to select points B, C and circle A in sequence, execute [Construct] - [Circle] Arc on Circle] command to construct arc BC; use the mouse to select points A, B and circle C in sequence, and execute the [Construction] - [Arc on Circle] command to construct arc AB.

Use the moving arrow tool to select circles A, B, and C respectively, and execute the [Show]-[Hide] command to hide them. The final graphic is as follows.

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