# 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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