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Equilateral Triangle by Peter Myers

Equilateral Triangle by Peter Myers
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2019-10-24 03:55
TriangleCirclePolygonAngleCoordinate Geometry
In collections Geometric Shapes
This example demonstrates the construction of an equilateral triangle. Key mathematical concepts include the properties of triangles and circles. Using GeoGebra commands such as Segment, Circle, Intersect, and Polygon, an equilateral triangle can be constructed. Suitable for students at the middle school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Circle(A, B) → c
  3. Circle(B, A) → d
  4. Intersect(c, d, 1) → C
  5. Segment(A, C) → g
  6. Segment(C, B) → h
  7. Polygon(A, C, B) → t1, b, a, c_1
  8. Angle(C, B, A) → α
  9. Angle(B, A, C) → β
  10. Angle(B, C, A) → γ
  11. Distance(B, A) → distanceBA
  12. Distance(A, C) → distanceAC
  13. Distance(C, B) → distanceCB