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Assume that x, y, and z are midpoints of the sides of △RST. If RS = 28, ST = 12, and RT = 18, find YZ.

a) 6
b) 9
c) 10
d) 14

1 Answer

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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.

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