point g is the centroid of triangle ABC
find value of x, FG=x+8 and AF=9x-6
3 answers
I guess you forgot to say where F is.
For the question to be "workable", AF is probably the median, with F on BC
remember the centroid cuts the median in the ratio of 2:1, or AG:GF = 2:1
then FG:AF = 1:3
(x+8)/(9x-6) = 1/3
9x - 6 = 3x + 24
6x = 30
x = 5
remember the centroid cuts the median in the ratio of 2:1, or AG:GF = 2:1
then FG:AF = 1:3
(x+8)/(9x-6) = 1/3
9x - 6 = 3x + 24
6x = 30
x = 5
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3 answers