Equilateral Triangle, Given a Side

Construction:

  1. From original segment, construct 2 circles, with the centers at the endpoints of the segment.
  2. Denote a point at the intersection of the two circles. (either top or bottom)
  3. Construct the remaining two segments between the endpoints and the point at the intersection of the circle (noted in step #2)

If Geometers Sketchpad available: GSP Equilateral Triangle


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