How to draw Morai triangle using geometric sketchpad

Step 1 Draw the △ABC of the angular trisector

Open the geometry board, select the custom tool-Angle tool-Angled trisector, and draw any one in the work area An angle with an interior angle trisector, and then use the line segment tool to connect the two connected points, thus obtaining △ABC.

Continue to use the custom tools above, and then click points C, A, and C in sequence, and the trisectors of ∠CAB will appear; similarly, draw the trisectors of ∠BCA bisector.

Step 2 Draw the intersection points D, E, and F

Select the move tool and click on the intersection points of each two lines adjacent to BC, CA, and AB, marked as Points D, E, F, as shown in the figure.

Step 3 Construct △DEF

Use the line segment ruler tool to connect DE, EF, and FD respectively, so that △DEF is obtained, and this triangle is an equilateral triangle.

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