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

(C) 14.83

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.