Law of Sines: Side Length Calculation in a Triangle

① This GeoGebra example dynamically demonstrates the Law of Sines, showing that the ratio of each side to the sine of its opposite angle is constant in a triangle, and uses this relationship to calculate unknown side lengths. ② Core mathematical concepts include the sine rule, triangle angle sum, side-angle correspondence, and trigonometric functions. ③ Construction details: The example uses GeoGebra commands such as Segment, Angle, and Distance to build the triangle and label its sides and angles, involving multiple objects (points like A_1, B_1, C_1; sides a, b, c; angles α, β, γ) and text objects (text2_1, text3_1, etc.) to display calculations and results, possibly with sliders for interactive exploration. ④ Suitable for high school or early college students learning trigonometry and geometry, and for teachers to illustrate the derivation and application of the sine rule in classroom settings.