Respuesta :

Hi there!
The question here is basically asking us to use ratios to find the length of the missing side. To do this, we must first construct a ratio. The best one would be - 
[tex] \frac{84}{12} = \frac{56}{x} [/tex]
Now, just cross multiply and solve for x.
[tex] \frac{84}{12} = \frac{56}{x} [/tex]
[tex]84x = 672[/tex]
[tex]x = 8[/tex]
Therefore, the length of the missing side would be 8. Hope this helped!
I believe it's given that the two triangles are similar

12/84 = x/56

x = 56*12/84 = 8