Answer:
∆GHE ~ ∆FHG ~ ∆FGE
HF = 16
Explanation:
The similar triangles can be identified this way.
∆GHE ~ ∆FHG ~ ∆FGE
Then the proportion involving sides FE, FH, FG can be written as ...
FG/FE = FH/FG
FH = FG²/FE . . . . . . . multiply by FG
FH = 20²/25 . . . . . substitute given values
FH = 16
The length of HF is 16 units.