Answer:
The right answer is the second option, 9,747.
Step-by-step explanation:
[tex]EG^2 = DG*FG \\ EG^2 = 5*14 \\ EG = \sqrt{70}[/tex]
Now let's find DE (Pythagorean theorem).
[tex]DE^2 = DG^2+EG^2\\ DE = \sqrt{25+70} \\ DE = \sqrt{95}[/tex]
[tex]\sqrt{95} =9,7467... = 9,747[/tex]
