Answer:
EG = 7
Step-by-step explanation:
The parallel lines cut sides AB and AC into segments with proportional lengths.
AB/DF = AC/EG
(AD + DF + FB)/DF = AC/EG
(18 + 10 + 12)/10 = 28/EG
40/10 = 28/EG
4 = 28/EG
4EG = 28
EG = 28/4
