Hello!
[tex]\large\boxed{x = 4.5}[/tex]
To solve, we can use proportions:
Since the triangles are similar, their side lengths will be proportional to each other. We can set up a proportion to solve for the missing side length. Remember to use corresponding sides:
CA ~ FD and AB ~ DE
Therefore:
[tex]\frac{6}{16} = \frac{x}{12}[/tex]
Cross multiply to solve for x:
6 · 12 = 16 · x
72 = 16x
Divide both sides by 16:
72/ 16 = 16x / 16
x = 4.5
