Question

Geometry math question no Guessing and Please show work thank you

Answer 1

we are given

$AQ=18$

and we have to find QE

we know that centroid divides median into 2:1

so, for median AE

we can write it as

$AQ=\frac{2}{3} AE$

now, we can plug AE

$18=\frac{2}{3} *AE$

$AE=27$

now, we can find QE

$QE=\frac{1}{3} AE$

we can plug AE=27

and we get

$QE=\frac{1}{3} *27$

$QE=9$..............Answer