In the diagram, △ABC∼△DEF. Find the value of x.

Given -
△ABC ∼ △DEF
To find -
the value of x.
Solution -
If △ABC ∼ △DEF then,
[tex]\frac{AB}{DE} =\frac{BC}{EF}[/tex]
➡ [tex]x=\frac{\cancel{12}^4}{\cancel{3}_1}\times2[/tex]
➡ [tex]x=4\times2[/tex]
➡ [tex]x=8[/tex]
Hence, the value of x is equal to 8.