Triangle Inequality Theorem Demo

Triangle Inequality Theorem Demo
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2017-10-31 07:22
This example demonstrates the Triangle Inequality Theorem, showing the relationship between the lengths of the sides of a triangle. It involves core concepts like triangle properties and polygon characteristics. Constructed using commands such as Point, Segment, Distance, Intersect, and Polygon to create a triangle and calculate side lengths. Suitable for high school mathematics education to visually understand geometric theorems.

GeoGebra Commands & Parameters

  1. Point(Circle[C, a]) → D
  2. Segment(C, D) → a_1
  3. Point(Circle[C, b]) → E
  4. Segment(C, E) → b_1
  5. Point(Circle[D, c]) → F
  6. Segment(D, F) → c_1
  7. Distance(b_1, a_1) → d
  8. Intersect(b_1, c_1) → G
  9. Polygon(C, F, D) → poly1, d_1, c_2, f_1