A shopping center has the shape of a right triangle measuring 600√3 meters, 600
meters and 1200 meters. During the holidays and busy seasons, the shopping
center is so crowded that it needs another walkway. The owners will construct the
walkway from the right angle to the hypotenuse. They want to use the shortest
possible length for the walkway.

A. Determine the length of the segment of the hypotenuse adjacent to the shorter
leg.

B. Determine the length of the new walkway.