The Coordinates of Triangle's Centroid

The Coordinates of Triangle's Centroid
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2014-12-03 10:55
This example demonstrates how to find the centroid of a triangle by constructing its medians and calculating its coordinates. Key mathematical concepts include the centroid of a triangle, medians, and coordinate geometry. It uses commands like Polygon, Midpoint, Segment, and Intersect in GeoGebra. Suitable for middle school and above students learning geometric construction and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Midpoint(b) → D
  3. Midpoint(c) → E
  4. Midpoint(a) → F
  5. Midpoint(a) → G
  6. Segment(A, G) → d
  7. Segment(B, D) → e
  8. Segment(C, E) → f
  9. Intersect(d, e) → H