Final answer:
Johannes Kepler is the brilliant student of Tycho Brahe who formulated the three laws of planetary motion.
Step-by-step explanation:
The brilliant student of Tycho Brahe who formulated the three laws of planetary motion is Johannes Kepler. Kepler was a German mathematician and astronomer who made significant contributions to our understanding of the motions of the planets. His laws of planetary motion describe the behavior of planets in their orbits, including the shape of the orbits and the relationship between orbital period and semimajor axis.