Types of a Triangle: Equilateral, Isosceles, Right, and Scalene

① This interactive GeoGebra example demonstrates the classification of triangles by allowing users to drag vertices and observe how the triangle changes among equilateral, isosceles, right, and scalene types. ② Core mathematical concepts include triangle side-angle relationships, equilateral, isosceles, right, and scalene triangles, as well as the circumcircle, arithmetic mean, and frequency distribution, blending geometry with basic statistics. ③ Construction details: The triangle is built using the Polygon command, angles are measured with the Angle command, and sides are drawn with Segment; key objects include vertices A, B, C, side lengths a, b, c, circumcircle o, and text objects text1, text2 for classification feedback, plus a button (button1) to trigger updates. ④ Suitable for middle school to high school students learning triangle properties and classification, and useful for dynamic geometry demonstrations and inquiry-based activities in the classroom.