Answer:
GH = 22.5
Step-by-step explanation:
Since ∆ABC is similar to ∆FGH, therefore:
[tex] \frac{AC}{FH} = \frac{BC}{GH} [/tex]
Plug in the values
AC = 12 cm
FH = 18 cm
BC = 15 cm
GH = ??
Plug in the values
[tex] \frac{12}{18} = \frac{15}{GH} [/tex].
Cross multiply
12*GH = 270
Divide both sides by 12
GH = 22.5
