Answer:
x = 22.5 cm
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{FG}{AB}=\frac{FH}{AC} = \frac{GH}{BC}\\\\\\ \frac{GH}{BC}=\frac{FG}{AB}\\\\\frac{x}{15}=\frac{13.5}{9}\\[/tex]
[tex]x = \frac{13.5}{9}*15\\\\x = 1.5*15\\\\x = 22.5[/tex]
