Answer:
40 inches
Step-by-step explanation:
Similar Triangles
In similar triangles, corresponding sides are always in the same ratio.
Let x be the length of the missing side.
Therefore:
[tex]\implies \sf x:16=30:12[/tex]
[tex]\implies \sf \dfrac{x}{16}=\dfrac{30}{12}[/tex]
[tex]\implies \sf 16 \cdot \dfrac{x}{16}=16 \cdot \dfrac{30}{12}[/tex]
[tex]\implies \sf x=\dfrac{480}{12}[/tex]
[tex]\implies \sf x=\dfrac{40 \cdot 12}{12}[/tex]
[tex]\implies \sf x=40[/tex]
Therefore, the length of the missing side is 40 inches.
