Based on the calculations, the length of GF is equal to 26 units.
<h3>How to find the length of GF?</h3>In Geometry, the centroid of any triangle always divides the lines in a ratio of 2:1. Thus, G divides line B F as follows:
2DG = BD
2(9x + 2) = 40
18x + 4 = 40
18x = 40 - 4
x = 36/18
x = 2.
Similarly, G divides line A F as follows:
2GF = A F
GF = A F/2
GF = (19x + 14)/2
GF = (19(2) + 14)/2
GF = 52/2
GF = 26 units.
Read more on centroid here: brainly.com/question/15015349
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