Proving the Law of Sines with GeoGebra

This GeoGebra example dynamically demonstrates the proof of the Law of Sines and extends the relationship of sin(A) for any acute triangle. It involves core concepts such as the Law of Sines, trigonometric functions, altitude construction, and intersection points. The construction uses the Polygon command to create triangle ABC, OrthogonalLine to draw altitude h, Intersect to locate foot D, and Segment, Angle objects to compute side lengths and angle α, leading to the identity sin(A)/a = sin(B)/b = sin(C)/c. The example is suitable for high‑school geometry and trigonometry classes as well as introductory college geometry modeling courses.