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Triangle Centroid Demonstration

Triangle Centroid Demonstration
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2018-03-19 08:11
TriangleVectorGeometric Construction
In collections Exploring Triangle Centers
This example demonstrates how to find the centroid of a triangle by constructing the midpoints of its sides and connecting the medians. Core math concepts include triangle, midpoint, median, centroid, and vector. Construction highlights: Segment, Midpoint, Intersect commands are used. Suitable for high school geometry teaching to help students understand the properties and construction methods of centroids.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Midpoint(A, B) → D
  5. Midpoint(B, C) → E
  6. Midpoint(C, A) → F
  7. Segment(B, F) → i
  8. Segment(C, D) → j
  9. Segment(A, E) → k
  10. Intersect(i, j) → Centroid