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Answer :

They are similar triangles so we know that the ratio is:

[tex]\begin{gathered} \frac{AC}{BC}=\frac{EC}{DC} \\ AC=\frac{6\cdot10}{8} \\ AC=7.5 \end{gathered}[/tex]

So the segment AB is:

[tex]\begin{gathered} AB=7.5-6 \\ AB=1.5 \end{gathered}[/tex]