Answer:
The missing side “x” is 2.
Step-by-step explanation:
From the given figure, we came to know that these are “similar triangles” where the ratio of the one “corresponding side” of a triangle is equal to the other two “corresponding sides” of a triangle.
Let the triangles be ∆ABC and ∆DEF
[tex]\Delta A B C \sim \Delta D E F[/tex]
From similarity of triangle rule the sides,
[tex]\frac{A B}{D E}=\frac{B C}{E F}[/tex]
Given that,
AB = x, DE = 8, BC = 4 and EF = 16
[tex]\text { Substitute the values in } \frac{A B}{D E}=\frac{B C}{E F} \text { to find }^{u} \mathrm{x}^{\prime \prime}[/tex]
[tex]\frac{x}{8}=\frac{4}{16}[/tex]
[tex]\frac{x}{8}=\frac{1}{4}[/tex]
[tex]x=\frac{8}{4}[/tex]
x = 2
Therefore, we found the missing side x = 2
