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Intersection of 3 Medians by blakebarwick55

Intersection of 3 Medians by blakebarwick55
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2016-09-01 09:29
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the concurrency of the three medians in a triangle. Key math concepts include medians, intersection point, and geometric construction. It uses commands like Polygon, Point, OrthogonalLine, and Distance in GeoGebra. Suitable for middle school and above students learning geometric constructions and triangle properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Point(c) → D
  3. OrthogonalLine(D, c) → f
  4. Point(b) → E
  5. OrthogonalLine(E, b) → g
  6. Point(a) → F
  7. OrthogonalLine(F, a) → h
  8. Distance(D, B) → distanceDB
  9. Distance(D, A) → distanceDA
  10. Distance(A, E) → distanceAE
  11. Distance(E, C) → distanceEC
  12. Distance(C, F) → distanceCF
  13. Distance(F, B) → distanceFB

AI Drawing Prompt Reference

Draw a triangle and construct the medians by drawing perpendicular lines from each vertex to the opposite side, identifying their intersection point as the centroid. Measure and compare the distances from the centroid to each vertex and to the feet of the perpendiculars on the opposite sides to illustrate the geometric properties of the centroid.
The prompt above was compiled from the original drawing commands and is for reference only.