Question

To the nearest hundredth, what is the measure of DE¯¯¯¯¯?

1.55
4.69
14.83
17.09

Answer 1

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

Answer 2

Answer:

(C) 14.83

Step-by-step explanation:

From the given figure, we have

$DF=6, FE=16 and {\angle}D=90^{\circ}$

Now, using the Pythagoras theorem, we get

$(FE)^2=(DE)^2+(DF)^2$

Substituting the given values, we get

$(16)^2=(DE)^2+(6)^2$

$256=(DE)^2+36$

$220=(DE)^2$

$14.83=DE$

Therefore, the value of DE is 14.83.

Hence, option C is correct.