Triangle Inequality
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GeoA-Ch07-TriangleInequalities
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
Circle(A, a) → dIntersect(d, e) → B, CCircle(C, b) → fSegment(A, C) → gCircle(A, c) → kIntersect(k, f) → F, G, ,Segment(C, F) → hSegment(F, A) → iPolygon(A, C, F) → poly1, f_1, a_1, c_1Textfield(a) → InputBox1Textfield(b) → InputBox2Textfield(c) → InputBox3