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Triangle Inequality Theorem

Triangle Inequality Theorem
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2016-03-02 05:52
TriangleInequalityGeometric Construction
This example illustrates the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Key mathematical concepts include the properties of triangles and inequalities. Using GeoGebra commands such as Segment, Circle, and Intersect, the relationship between the sides of a triangle can be dynamically demonstrated. Suitable for middle school and above students learning geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(B, b) → c
  3. Circle(A, d) → e
  4. Intersect(c, e) → I_1, I_2, ,
  5. Segment(B, I_2) → g
  6. Segment(A, I_2) → h
  7. Point(c) → C
  8. Segment(B, C) → i
  9. Point(e) → D
  10. Segment(A, D) → j
  11. Point(a) → E