EyramP735619 EyramP735619

31-10-2022
Mathematics

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In the accompanying diagram, AABC ~ADEF, AB = 12, AC = 8, DE = x, and DF = 2. Find the value of x.

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EzrealK267969 EzrealK267969

31-10-2022

Using the similarity ratio for sides of the given triangles,

[tex]\begin{gathered} \frac{AB}{DE}=\frac{AC}{DF} \\ \frac{12}{x}=\frac{8}{2} \\ x=\frac{12}{4} \\ x=3 \end{gathered}[/tex]

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