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

GH = 22.5

Explanation:

Since ∆ABC is similar to ∆FGH, therefore:

`(AC)/(FH) = (BC)/(GH)`

Plug in the values

AC = 12 cm

FH = 18 cm

BC = 15 cm

GH = ??

Plug in the values

`(12)/(18) = (15)/(GH)`.

Cross multiply

12*GH = 270

Divide both sides by 12

GH = 22.5