How to Construct an Equilateral Triangle in GeoGebra

Open the Geometry tool in GeoGebra. Under the Basic Tools heading, click Segment.. Click to draw point A.. Determine the length of one side of the triangle and click to draw point B.. Click More to access more construction tools.. Scroll down and click Compass under the Circles heading.. To use the Compass, select the endpoints of the radius and then select the center of the circle. Click point A to make point A an endpoint of a radius.. Click point B to make point B the other endpoint of the radius.. Click point B to make point B the center of the circle. This circle is named circle B. All points on circle B are the same distance from point B.. The Compass tool remains active. Click point B to make point B an endpoint of a radius. . Click point A to make point A the other endpoint of the radius.. Click point A to make point A the center of the circle. This circle is named circle A. All points on circle A are the same distance from point A. Circle A is congruent to circle B.. Click Polygon.. Click point A to make point A a vertex of the polygon.. Click point B to make point B a vertex of the polygon.. Click a point of intersection to make that point of intersection a vertex of the triangle.. Click point A to close the polygon.. All three sides of the polygon are radii of congruent circles. Therefore, all three sides are congruent and form an equilateral triangle.

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