Answer :

root (16)²-6²=14.83
the answer is 14.83

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Rewritten by : Barada

Answer:

(C) 14.83

Step-by-step explanation:

From the given figure, we have

[tex]DF=6, FE=16 and {\angle}D=90^{\circ}[/tex]

Now, using the Pythagoras theorem, we get

[tex](FE)^2=(DE)^2+(DF)^2[/tex]

Substituting the given values, we get

[tex](16)^2=(DE)^2+(6)^2[/tex]

[tex]256=(DE)^2+36[/tex]

[tex]220=(DE)^2[/tex]

[tex]14.83=DE[/tex]

Therefore, the value of DE is 14.83.

Hence, option C is correct.