mckenzieandjesus
  • mckenzieandjesus
please help me!! in triangle DEF, df=16 and m
Mathematics
chestercat
  • chestercat
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mckenzieandjesus
  • mckenzieandjesus
|dw:1435081379555:dw|
wolf1728
  • 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
  • mckenzieandjesus
Okay what does that mean?

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mckenzieandjesus
  • mckenzieandjesus
how do i find the answer?
wolf1728
  • wolf1728
I'll tell you - give me a minute or 2 to type it
mckenzieandjesus
  • mckenzieandjesus
ok
wolf1728
  • 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
  • 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
  • wolf1728
I'm guessing the "check mark thing" probably means "square root" Does it look like this √ ?
mckenzieandjesus
  • mckenzieandjesus
|dw:1435083079125:dw| like that
mckenzieandjesus
  • mckenzieandjesus
|dw:1435083104897:dw|
wolf1728
  • 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
  • mckenzieandjesus
I am not sure how i would solve it..
mckenzieandjesus
  • mckenzieandjesus
would the answer just be 128?
wolf1728
  • 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
  • mckenzieandjesus
256?
mckenzieandjesus
  • mckenzieandjesus
2*128=256
mckenzieandjesus
  • mckenzieandjesus
would the answer be |dw:1435084166478:dw|
wolf1728
  • wolf1728
Okay, 16^2 = 2 * DE^2 DE = square root (16^2/2) DE = 16 / (square root (2)) That is the answer
mckenzieandjesus
  • mckenzieandjesus
ohhh. well thank you so much for trying to help me (: im sorry i get confused
wolf1728
  • wolf1728
Gee, I think I did more than a "tad" of help :-) You have the answer.
wolf1728
  • wolf1728
Well, thanks for the medal :-)
wolf1728
  • wolf1728
One more thing the answer is ALSO 8 * square (2)
mckenzieandjesus
  • mckenzieandjesus
how can it also be that? i can only choose 1
mckenzieandjesus
  • mckenzieandjesus
so i was right. it that 16 2 simplified?
wolf1728
  • 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
  • mckenzieandjesus
thats what i thought goo thing i hadnt submited it yet thanku!
mckenzieandjesus
  • mckenzieandjesus
could u help me with another?
wolf1728
  • 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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