Triangle Brain Teaser

Geometry Level 3

\(\triangle ABC\) (blue) has side length 5, 6, and 7. \(\triangle A' B' C'\) (red) is drawn inside it with its sides parallel to the sides of \(\triangle ABC\), and 1 unit away from them. What is the length of \(A' B'\)? Round your answer to 3 decimal places.

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