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

asked Jul 25, 2023 26.6k views

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Using the similarity ratio for sides of the given triangles,

$\begin{gathered} (AB)/(DE)=(AC)/(DF) \\ (12)/(x)=(8)/(2) \\ x=(12)/(4) \\ x=3 \end{gathered}$

Jakogut answered Aug 1, 2023

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