Answer:
EG = 84
Step-by-step explanation:
Here, we want to get the length of EG
Mathematically, we will be considering two triangles
these are EFJ and EHG
These two triangles are similar as can be seen
when two triangles are similar, the ratio of their corresponding sides are equal
Thus, we have it that;
EH/EG = EJ/EF
let us represent EF by x
so; EG is (x + 72)
EH = 3 + 18 = 21
Hence, we have it that;
21/x+ 72 = 3/x
21(x) = 3(x + 72)
21x = 3x + 216
21x-3x = 216
18x = 216
x = 216/18
x = 12
EG = 12 + 72 from EG = x + 72
EG = 84
