Triangle Inequality Theorem Interactive Exploration

①This example demonstrates the triangle inequality theorem through interactive manipulation, showing that the sum of any two sides of a triangle must be greater than the third side, and the difference of any two sides must be less than the third. ②Core mathematical concepts include triangle properties, distance measurement, and inequality relationships. ③Construction details: using GeoGebra commands Point to create points A, B, C, D, E, F, Segment to construct segments a, b, c, d, Distance to compute side lengths, and sliders n, i, j to adjust point positions or parameters, with text1, text2, text3 displaying side lengths and inequality verification results. ④Suitable for middle school geometry lessons or self-study, helping students intuitively grasp the conditions for forming a triangle and explore how changing side lengths affects the triangle's existence and shape.