Tracy found the length of gf. her work is shown below.

16 = 2(2x)
16 = 4x; x = 4
8(4) = 32
gf = 2(32)
gf = 64
what error did tracy make?
she used ag = 2eg, but the correct statement is 2ag = ge.
she found that x = 4, but the correct value for x is 2.
she used gf = 2bg, but the correct statement is bg = 2gf.
she found that gf = 64, but the correct value of gf is 8.

we know that

The centroid of a triangle is the intersection of the three medians of the triangle. The coordinates of the centroid are also two-thirds of the way from each vertex along that segment

so

in this problem

The point G is the centroid of the triangle ABC

------> equation A

we have

substitute in the equation A and solve for x

------> equation B

we have

substitute in the equation B and solve for GF

substitute the value of x

therefore

the answer is

She used , but the correct statement is

good luck on your studies! : )

david edward.