Answer:
The length of HG is 9.
Step-by-step explanation:
ABCD is similar to HGFE, then we can set up a proportion:
[tex]$\frac{AD}{EH} =\frac{DC}{HG} $[/tex]
[tex]$\frac{45}{27} =\frac{15}{HG} $[/tex]
[tex]$45HG=15 \cdot 27 $[/tex]
[tex]$HG=\frac{405}{45} $[/tex]
[tex]HG=9[/tex]
