Answer:
22.5 cm
Step-by-step explanation:
You can make a proportion of the sides of the two triangles: AB/FG = 9/13.5 = 1/1.5 = 2/3
You also can do the same thing with another set of two sides: AC/FH = 12/18 = 2/3.
Then, you know the proportion is 2/3 so you have BC/GH = 2/3 = 15/x
Solving:
[tex]\frac{2}{3} = \frac{15}{x}[/tex]
multiply both sides by 3x
[tex]2x = 45\\x = 22.5[/tex]
