Final answer:
The missing measures of the centroid of ARST are: a) TX = 13.5, b) XU = 13.5, c) SX = 9, d) XW = 9, e) RX = 10.5
Step-by-step explanation:
To find the missing measures of the centroid of ARST, we will use the property that the centroid divides each median into two parts in a 2:1 ratio.
a) TX = 27/2 = 13.5
b) XU = 27/2 = 13.5
c) SX = 18/2 = 9
d) XW = 18/2 = 9
e) RX = 21/2 = 10.5