GeoGebra Equilateral Triangle Interactive Construction

This GeoGebra example demonstrates how to construct a standard equilateral triangle. The core mathematical concepts include the properties of equilateral triangles: three equal sides and three 60° interior angles, as well as fundamental principles of plane geometry construction. Construction details: Use the Polygon command to create triangle poli1 with vertices A and B as endpoints, employ the Angle command to measure and display the three interior angles α, β, and γ. Verify the equilateral property by confirming a=b=c and α=β=γ=60°. Object list includes vertices A, B, C, sides a, b, c, and angles α, β, γ. This example is suitable for middle school geometry teaching, helping students observe equilateral triangle properties and understand basic geometric construction methods. It also serves as an introductory case for learning polygon and angle concepts.