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GeoGebraGeoGebra Classroom

Equilateral triangle

Task

Construct an equilateral triangle that passes the Drag Test by following the construction steps provided below.

Explore the construction...

Instructions

1.Toolbar ImageCreate segment AB by clicking twice into the Graphics View. 6.Toolbar ImageCreate the polygon ABC in counterclockwise direction. To close the polygon select the first point again.
2.Toolbar ImageConstruct a circle with center A through B by selecting both points in this order. 7.Toolbar ImageHide the two circles by activating the Show/Hide Object tool and selecting them. Confirm your selection by selecting the Move tool.
3.Toolbar ImageDrag points A and B to check if the circle is connected to them. 8.Toolbar ImageShow the interior angles of the triangle by clicking inside the triangle.
4.Toolbar ImageConstruct a circle with center B through A by selecting both points in this order. Hint: If you get the exterior angles of your triangle, you probably created the polygon in clockwise direction.
5.Toolbar ImageIntersect both circles by selecting them to get point C. 9.Toolbar ImageApply the Drag Test to check if the construction is correct.

Try it yourself...