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Equilateral Triangle Construction

Task

Construct an equilateral triangle by following the construction steps provided below.   Explore the construction by dragging the vertices.

Try it yourself...

Instructions

1.Toolbar ImageSelect the Segment tool. Click twice to create two points A and B, and a segment between them.  Label the points.
2.Toolbar Image Find the measure of segment AB.
3. Toolbar ImageActivate the Circle tool. Create a circle with the center A and through the point B. 
4.Toolbar ImageActivate the Circle tool. Create a circle with the center B and through the point A.
5.Toolbar ImageSelect the Point tool and create a point C at one of the two intersections of the circles.  Label the point C.
6.Toolbar ImageSelect the Segment tool and construct a segment between points A and C.  Find the measure of segment AC.
7.Toolbar Image Select the Segment tool and construct a segment between points B and C.  Find the measure of segment BC.