Classification of Triangles: Interactive Exploration by Sides and Angles

This GeoGebra applet demonstrates the classification of triangles by side lengths (equilateral, isosceceles, scalene) and by angles (acute, right, obtuse). Using geometric construction commands including Polygon, Segment, Angle, Circle, PerpendicularBisector, and PerpendicularLine, users can drag vertices A, B, and C to dynamically reshape the triangle. The system employs tolerance parameters to automatically determine approximate equality relationships among side lengths and angle measures, providing real-time feedback on the triangle type. This interactive geometric construction example helps students develop an intuitive understanding of the fundamental properties and classification criteria of triangles, making it well suited for middle school geometry instruction.