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mckenzieandjesus

  • one year ago

please help me!! in triangle DEF, df=16 and m<f =45. find the length of a leg. leave your answer in simplest radical form

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  1. mckenzieandjesus
    • one year ago
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    |dw:1435081379555:dw|

  2. wolf1728
    • one year ago
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    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

  3. mckenzieandjesus
    • one year ago
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    Okay what does that mean?

  4. mckenzieandjesus
    • one year ago
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    how do i find the answer?

  5. wolf1728
    • one year ago
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    I'll tell you - give me a minute or 2 to type it

  6. mckenzieandjesus
    • one year ago
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    ok

  7. wolf1728
    • one year ago
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    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

  8. mckenzieandjesus
    • one year ago
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    So what would the answer be? the choices i have are: 8 check mark thing 2, 16 check mark thing 2, 128 and 16

  9. wolf1728
    • one year ago
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    I'm guessing the "check mark thing" probably means "square root" Does it look like this √ ?

  10. mckenzieandjesus
    • one year ago
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    |dw:1435083079125:dw| like that

  11. mckenzieandjesus
    • one year ago
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    |dw:1435083104897:dw|

  12. wolf1728
    • one year ago
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    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?

  13. mckenzieandjesus
    • one year ago
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    I am not sure how i would solve it..

  14. mckenzieandjesus
    • one year ago
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    would the answer just be 128?

  15. wolf1728
    • one year ago
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    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.

  16. mckenzieandjesus
    • one year ago
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    256?

  17. mckenzieandjesus
    • one year ago
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    2*128=256

  18. mckenzieandjesus
    • one year ago
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    would the answer be |dw:1435084166478:dw|

  19. wolf1728
    • one year ago
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    Okay, 16^2 = 2 * DE^2 DE = square root (16^2/2) DE = 16 / (square root (2)) That is the answer

  20. mckenzieandjesus
    • one year ago
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    ohhh. well thank you so much for trying to help me (: im sorry i get confused

  21. wolf1728
    • one year ago
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    Gee, I think I did more than a "tad" of help :-) You have the answer.

  22. wolf1728
    • one year ago
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    Well, thanks for the medal :-)

  23. wolf1728
    • one year ago
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    One more thing the answer is ALSO 8 * square (2)

  24. mckenzieandjesus
    • one year ago
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    how can it also be that? i can only choose 1

  25. mckenzieandjesus
    • one year ago
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    so i was right. it that 16 2 simplified?

  26. wolf1728
    • one year ago
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    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.

  27. mckenzieandjesus
    • one year ago
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    thats what i thought goo thing i hadnt submited it yet thanku!

  28. mckenzieandjesus
    • one year ago
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    could u help me with another?

  29. wolf1728
    • one year ago
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    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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