# Length of a line

Geometry Level 3

The figure above shows a parallelogram $$ABCD.$$ $$\overline {CB}$$ extended meets $$\overline{AE}$$ at a $$90^\circ$$ angle and $$\overline{CD}$$ extended meets $$\overline{AF}$$ at a $$90^\circ$$ angle. Given that $$\overline{EB}=3,\overline{BC}=5$$ and $$\overline{AB}=4$$, find the length of $$\overline{DF}$$.

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