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Equilateral Triangle by youngcar

Equilateral Triangle by youngcar
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2017-12-12 14:12
TriangleCoordinate GeometryGeometric Construction
In collections Rotational Symmetry 1
This example demonstrates the construction of an equilateral triangle. An equilateral triangle is a triangle with all three sides of equal length. Using GeoGebra commands such as Polygon, Midpoint, Segment, etc., an equilateral triangle can be easily constructed. Suitable for students at the junior high school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → poly1, f, g, h, C
  2. Midpoint(A, C) → D
  3. Midpoint(A, B) → E
  4. Segment(D, B) → i
  5. Segment(E, C) → j
  6. Intersect(i, j) → F
  7. Intersect(i, h) → G
  8. Rotate(poly1, α, F) → poly1'
  9. PointIn(poly1') → H

AI Drawing Prompt Reference

Draw an equilateral triangle by first constructing a triangle with points A, B, and C, then find the midpoints D and E of sides AB and AC, draw line segments i from D to B and j from E to C, their intersection points F and G will be used to rotate the triangle, and finally rotate the triangle and select one of its vertices H.
The prompt above was compiled from the original drawing commands and is for reference only.