we are given
[tex] AQ=18 [/tex]
and we have to find QE
we know that centroid divides median into 2:1
so, for median AE
we can write it as
[tex] AQ=\frac{2}{3} AE [/tex]
now, we can plug AE
[tex] 18=\frac{2}{3} *AE [/tex]
[tex] AE=27 [/tex]
now, we can find QE
[tex] QE=\frac{1}{3} AE [/tex]
we can plug AE=27
and we get
[tex] QE=\frac{1}{3} *27 [/tex]
[tex] QE=9 [/tex]..............Answer
