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Not perfect but this is the drawing that goes with it
are points G, E and F midpoints of the segments AB, BC and AC ?
I think so? Something about a centroid? This is a question that I posted for my brother because he doesn't know how to do this. Everything should be even in the drawing but i'm not an expert artist or anything lol.
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if that's the case, then AE, GC, and BF are medians
they all intersect at the centroid
The distance from any vertex to the centroid is always twice as large as the distance from the centroid to the midpoint on the opposite segment (along the same median)
what does this mean? it means that we can say
BD = 2k
DF = k
for some number k
BD = 2*DF
4x+5 = 2*9x
solve for x, then use this to find BD and DF
Your last step is to use them to find BF = BD + DF