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Answer :

Answer:

[tex]FH=16[/tex]

Step-by-step explanation:

To find FH, since DE is parallel to GH, use the triangle proportionality theorem:

[tex]\begin{gathered} \frac{FG}{FD}=\frac{FH}{FE} \\ \end{gathered}[/tex]

Substitute, using cross multiplication solve for FH:

[tex]\begin{gathered} \frac{12}{33}=\frac{FH}{44} \\ FH=\frac{12\cdot44}{33} \\ FH=16 \end{gathered}[/tex]