Proof of Sine Rule

This GeoGebra example demonstrates a geometric proof of the Sine Rule through dynamic construction, showing how the relationship between sides and angles in a triangle leads to the formula. Key mathematical concepts involved include the Sine Rule, trigonometric functions (specifically sine), properties of triangle angles, and side-angle correspondences. In terms of construction, it utilizes commands such as Polygon to form triangle ABC, Line and OrthogonalLine to draw lines and perpendiculars for auxiliary heights, Angle to mark angles, Intersect for intersection points, and Segments for line segments; objects like points A, B, C define the triangle, while others like β, γ, α represent angles, and text objects add proof annotations. This example is suitable for high school or introductory college-level trigonometry courses, serving as a visual aid to enhance understanding of the Sine Rule derivation.