Final answer:
The length of segment YZ is 6.
Step-by-step explanation:
To find YZ, we need to determine the length of the segment YZ. Given that x, y, and z are midpoints of the sides of △RST, we know that the segments RT and ST are divided into halves by point Y. Therefore, YZ is equal to half the length of ST. Since ST = 12, YZ = 12/2 = 6. Therefore, the answer is option a) 6.