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Triangle Inequalities Construction

Triangle Inequalities Construction
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2017-02-13 18:47
TriangleInequalityGeometric Construction
This example demonstrates the inequality properties of triangles. Key mathematical concepts include the relationship between the sides of a triangle. Using GeoGebra commands such as Point, Segment, Circle, Intersect, etc., a dynamic triangle is constructed to observe the inequality relationships as side lengths change. Suitable for middle school and above students to learn about geometric inequalities.

GeoGebra Commands & Parameters

  1. Point(Circle[A, n]) → B
  2. Segment(A, B) → f
  3. Circle(A, m) → c
  4. Circle(B, p) → d
  5. Intersect(c, d) → C, D, ,
  6. Polygon(C, A, B) → poly1, b, c_1, a
  7. If((p + n > m) ∧ (n + m > p) ∧ (p + n > m), true) → t_1