Exploring Triangle Sides and Angles

①This example dynamically demonstrates the fundamental relationship between sides and angles in a triangle, showing that larger sides correspond to larger opposite angles, and that the sum of interior angles is always 180°. ②Core mathematical concepts include triangle side-angle relationships, the interior angle sum theorem, scalene triangles, and the interdependence of side lengths and angle measures. ③Construction details: using GeoGebra commands Segment to create sides a, b, c, and Angle to mark interior angles α, β, γ, with a text object (text1) displaying current side lengths and angle values; dragging vertices A, B, C updates the measurements in real time. ④Suitable for middle school geometry lessons, high school review, or independent student exploration to develop dynamic geometric reasoning and observational skills.