Question

Triangle ABC is similar to triangle FGH.


What is the value of x in centimeters?
22.5 cm
8 cm
10.8 cm
30 cm

Answer 1

Answer:

GH = 22.5

Step-by-step explanation:

Since ∆ABC is similar to ∆FGH, therefore:

$\frac{AC}{FH} = \frac{BC}{GH}$

Plug in the values

AC = 12 cm

FH = 18 cm

BC = 15 cm

GH = ??

Plug in the values

$\frac{12}{18} = \frac{15}{GH}$.

Cross multiply

12*GH = 270

Divide both sides by 12

GH = 22.5