Law of Cosines (Activity) - Interactive GeoGebra Exploration

①This interactive GeoGebra activity demonstrates the Law of Cosines through a dynamic triangle where users can drag vertices to observe how side lengths and angles change, visually confirming the formula c² = a² + b² - 2ab·cos(C). ②Core mathematical concepts include the Law of Cosines, triangle side-angle relationships, trigonometric functions (cosine), and geometric transformations, with extensions to isosceles triangles and complex number contexts. ③Construction details: using GeoGebra commands Intersect, Point, and Polygon to build triangle ABC with sides a, b, c, and text objects text1 and text2 to display live measurements of sides and angles, enabling real-time feedback. ④This resource is suitable for high school students learning trigonometry and solving triangles, and serves as an effective tool for classroom demonstrations or self-paced exploration to deepen understanding of the Law of Cosines and its applications.