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Geometric and Arithmetic Means

Geometric and Arithmetic Means
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2016-12-02 02:19
FunctionCoordinate Geometry
This example illustrates the concepts of geometric and arithmetic means. It involves key mathematical concepts such as arithmetic and geometric means. Using GeoGebra commands like Segment, LineBisector, Intersect, etc., relevant geometric figures are constructed. Suitable for students from middle school and above.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. LineBisector(B, A) → g
  3. Intersect(g, f) → C
  4. Circle(C, A) → c
  5. Point(f) → D
  6. OrthogonalLine(D, f) → h
  7. Intersect(c, h, 2) → E
  8. Segment(A, E) → i
  9. Segment(B, E) → j
  10. Segment(D, E) → k
  11. Angle(E, D, A) → α
  12. OrthogonalLine(C, f) → l
  13. Intersect(c, l, 2) → F
  14. Segment(C, F) → m
  15. Angle(F, C, A) → β