Classifying Triangles: Equilateral, Isosceles, Right, and Scalene

① This example demonstrates how to classify triangles based on side lengths and angles, visually distinguishing equilateral, isosceles, right, and scalene triangles. ② Core mathematical concepts include triangle side-angle relationships, definitions of equilateral/isosceles/right/scalene triangles, and applications of geometric mean, arithmetic mean, and linear regression in data analysis. ③ Construction highlights: using GeoGebra commands Polygon to create triangle ABC, Distance to measure side lengths (distanceAB, distanceBC, distanceCA), Angle to measure interior angles (α, β), and text objects (TextAB, etc.) to display measurements; it also includes scatter plot, linear regression, and median line for statistical exploration. ④ Suitable for middle school to high school students learning geometry classification and introductory statistics, as well as for classroom demonstrations or self-study.