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Kellehers Centroid

Kellehers Centroid
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2014-11-03 11:54
TriangleCoordinate GeometryGeometric Construction
This example illustrates the concept of Kellehers centroid. It involves the properties of the centroid of a triangle. Using GeoGebra commands such as Polygon, Midpoint, Segment, etc., it demonstrates the geometric properties of the centroid. Suitable for high school geometry learners and teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Midpoint(C, A) → D
  3. Midpoint(A, B) → E
  4. Midpoint(B, C) → F
  5. Segment(D, B) → d
  6. Segment(F, A) → e
  7. Segment(C, E) → f
  8. Intersect(d, e) → G
  9. Distance(B, G) → distanceBG
  10. Distance(G, D) → distanceGD
  11. Distance(C, G) → distanceCG
  12. Distance(G, E) → distanceGE
  13. Distance(A, G) → distanceAG
  14. Distance(G, F) → distanceGF