please help me!!
in triangle DEF, df=16 and m

Mathematics
- mckenzieandjesus

please help me!!
in triangle DEF, df=16 and m

Mathematics
- chestercat

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- mckenzieandjesus

|dw:1435081379555:dw|

- wolf1728

angle f = 45
angle e = 90 Therefore,
angle d = 180-45 -90
angle d = 45
Therefore we are dealing with a 45 45 90 triangle

- mckenzieandjesus

Okay what does that mean?

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## More answers

- mckenzieandjesus

how do i find the answer?

- wolf1728

I'll tell you - give me a minute or 2 to type it

- mckenzieandjesus

ok

- wolf1728

Triangle DEF is a right triangle with DF as the hypotenuse and DE and EF are the legs
According to the Pythagorean Theorem
DF^2 = DE^2 + EF^2
It is a 45 45 90 triangle, leg DE = EF so we can say
DF^2 = 2* DE^2
16^2 = 2 * DE^2
256 = 2* DE^2
128 = DE^2
DE = 11.313708499
and since DE = EF
EF = 11.313708499

- mckenzieandjesus

So what would the answer be? the choices i have are: 8 check mark thing 2, 16 check mark thing 2, 128 and 16

- wolf1728

I'm guessing the "check mark thing" probably means "square root"
Does it look like this √ ?

- mckenzieandjesus

|dw:1435083079125:dw| like that

- mckenzieandjesus

|dw:1435083104897:dw|

- wolf1728

Okay so that means
8 * square root of 2
16 * square root of 2
If you look back to the answer I gave a while ago, one line says
128 = DE^2
Basically that means DE = square root (128)
Can you solve that?

- mckenzieandjesus

I am not sure how i would solve it..

- mckenzieandjesus

would the answer just be 128?

- wolf1728

Okay, I've practically done all the math here so far.
In my previous answer, a few lines before that it says
16^2 = 2 * DE^2
Can you solve that?
and NO the answer is NOT just 128.

- mckenzieandjesus

256?

- mckenzieandjesus

2*128=256

- mckenzieandjesus

would the answer be |dw:1435084166478:dw|

- wolf1728

Okay, 16^2 = 2 * DE^2
DE = square root (16^2/2)
DE = 16 / (square root (2))
That is the answer

- mckenzieandjesus

ohhh. well thank you so much for trying to help me (: im sorry i get confused

- wolf1728

Gee, I think I did more than a "tad" of help :-)
You have the answer.

- wolf1728

Well, thanks for the medal :-)

- wolf1728

One more thing the answer is ALSO 8 * square (2)

- mckenzieandjesus

how can it also be that? i can only choose 1

- mckenzieandjesus

so i was right. it that 16 2 simplified?

- wolf1728

That's why I gave you the second choice.
16 DIVIDED by the square root of 2
EQUALS
8 MULTIPLIED by the square root of 2.

- mckenzieandjesus

thats what i thought goo thing i hadnt submited it yet thanku!

- mckenzieandjesus

could u help me with another?

- wolf1728

Well I believe 16 DIVIDED by the square root of 2 was not one of the multiple choice answers so you couldn't have said it.
I must get going now.
Perhaps someone else could help you.
I'd suggest asking a NEW question instead of just adding it on the the end of this one. (It will be noticed by more people.)

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