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Answer :

We will determine the length of the segment DF as follows:

*We have that the triangles are similar, and therefore the following is true:

[tex]\frac{2}{1.34}=\frac{4}{DF}[/tex]

Now, we solve for DF:

[tex]\Rightarrow DF=\frac{1.34\cdot4}{2}\Rightarrow DF=2.68[/tex]

From this, we have that the length of the segment DF equals 2.68 units.