Triangle Inequality

Triangle Inequality
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2017-11-27 20:21
This example demonstrates the triangle inequality theorem, showing the relationship between three segment lengths for them to form a valid triangle. It involves core concepts like geometric construction, interactive exploration, and verifying the sum of any two sides is greater than the third. Constructed using commands such as Circle, Intersect, Segment, Polygon, and Textfield in GeoGebra, making it suitable for middle school and above students to understand geometric principles dynamically.

GeoGebra Commands & Parameters

  1. Circle(A, a) → d
  2. Intersect(d, e) → B, C
  3. Circle(C, b) → f
  4. Segment(A, C) → g
  5. Circle(A, c) → k
  6. Intersect(k, f) → F, G, ,
  7. Segment(C, F) → h
  8. Segment(F, A) → i
  9. Polygon(A, C, F) → poly1, f_1, a_1, c_1
  10. Textfield(a) → InputBox1
  11. Textfield(b) → InputBox2
  12. Textfield(c) → InputBox3