Answer:
x = 22.5 cm
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{FH}{AC}[/tex] = [tex]\frac{GH}{BC}[/tex] , substitute values
[tex]\frac{x}{9}[/tex] = [tex]\frac{12.5}{5}[/tex] ( cross- multiply )
5x = 112.5 ( divide both sides by 5 )
x = 22.5 cm
