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Visualizing Triangle Inequalities by Marcos Ferreira

Visualizing Triangle Inequalities by Marcos Ferreira
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2015-03-26 04:49
TriangleInequality
This example visually demonstrates the inequalities of a triangle. It involves key mathematical concepts such as the relationship between the sides of a triangle. Using GeoGebra commands like Segment, Circle, Intersect, and Polygon, it provides an intuitive understanding of the property that the sum of any two sides of a triangle is greater than the third side. Suitable for students in middle school and above learning about geometric inequalities.

GeoGebra Commands & Parameters

  1. Segment(A, B) → d
  2. Circle(B, a) → f
  3. Circle(A, b) → e
  4. Intersect(e, f, 1) → C
  5. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  6. Angle(B, A, C) → α
  7. Angle(A, C, B) → γ
  8. Angle(C, B, A) → β
  9. Point(f) → F
  10. Point(e) → D
  11. Segment(A, D) → g
  12. Midpoint(A, D) → E
  13. Midpoint(B, F) → G
  14. Segment(B, F) → h