Sine Rule, Cosine Rule and Area Practice

① This interactive GeoGebra example is a practice tool for applying the sine rule, cosine rule, and triangle area formula to solve for unknown sides, angles, or areas in arbitrary triangles. ② Core mathematical concepts include the sine rule (a/sinA = b/sinB = c/sinC), the cosine rule (c² = a² + b² - 2ab·cosC), and the area formula (S = 1/2·ab·sinC), along with fundamental geometric elements such as angles, segments, and polygons. ③ Construction details: Based on the construction summary, the example uses GeoGebra commands including Line, Rotate, Angle, Segment, Ray, Intersect, and Polygon. It creates multiple points (e.g., A, B', X, Y, Z), angles (α, β, γ, δ, ε, ζ, η), segments (a, b, c, d, e, h, i, j, k, l, m, n), and text objects (text1, text2), with a button (button1) to trigger practice or reveal answers. ④ This resource is suitable for high school students (grades 10-12) learning trigonometry or geometry, and can be used for classroom exercises, self-study, or teacher demonstrations to reinforce the integrated application of the sine rule, cosine rule, and area formula.