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anonymous

  • one year ago

The longer leg of a 30°-60°-90° triangle is 18. What is the length of the other leg? Any help please?

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  1. wolf1728
    • one year ago
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    The shortest leg would be 9

  2. wolf1728
    • one year ago
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    The other leg would equal (square root of three / 2) * 18 15.5884572681 or about 15.588 Go to here: http://www.1728.org/trig2.htm for more information.

  3. anonymous
    • one year ago
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    but if the shortest leg were 9 then hypotenuse would be 18 and the hypotenuse cant be the same at the leg

  4. wolf1728
    • one year ago
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    Shortest leg = 9 "Medium" side = 15.588 Hypotenuse = 18 Where's the problem?

  5. anonymous
    • one year ago
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    cause isnt the question giving the medium? it didnt say the hypotenuse was 18 is said the longest leg was 18

  6. wolf1728
    • one year ago
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    Okay, technically, the"leg" of a right triangle is generally not the hypotenuse. I wish they would word these problems better. The "longer leg" = 18 When you know the "medium" side then the short leg = "medium" side * (1/square root of 3) = 10.3932

  7. anonymous
    • one year ago
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    its gives me 4 answers A 4(square root over 3) B) 12(square root over 3) C) 9 D) 6(square root over 3)

  8. wolf1728
    • one year ago
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    It seems 9 is the only correct answer IF the hypotenuse is equal to 18.

  9. anonymous
    • one year ago
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    alright ill give 9 a try thank you

  10. wolf1728
    • one year ago
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    Will you get an answer right after you post that?

  11. anonymous
    • one year ago
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    no not right away but i am kinda of question that but you are smarter then me so ill take that answer

  12. wolf1728
    • one year ago
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    Well thanks for the comment. Well maybe in math anyway.

  13. anonymous
    • one year ago
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    ha yeah thank you

  14. wolf1728
    • one year ago
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    okay and good luck.

  15. anonymous
    • one year ago
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    @mathmath333 are you good at geometry? if so im having trouble with this question and im questioning the answer he gave me which was 9 could you possibly help me a bit?

  16. anonymous
    • one year ago
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    help im questioning the answer 9?

  17. anonymous
    • one year ago
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    is it right @zepdrix

  18. anonymous
    • one year ago
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    how did you conclude that 18 was the hypotenuse? isnt the longest leg 18 like i told him its not saying the hypotenuse is 18 is saying the longest leg is 18 so were already given 1 leg

  19. zepdrix
    • one year ago
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    oh oh oh oh oh, when i read the question, for some reason i read "longest leg" it says longer leg, woops woops woops :)

  20. anonymous
    • one year ago
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    |dw:1433485148161:dw|

  21. zepdrix
    • one year ago
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    The wording is very poor, but yes you're probably right, it's probably referring to the medium length leg

  22. anonymous
    • one year ago
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    see this is how im seeing it in my head

  23. zepdrix
    • one year ago
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    Ok this is going to be a little tricky. How did we get from the short leg to the medium leg? We had to multiply the short leg by sqrt3, yes?

  24. zepdrix
    • one year ago
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    So to get from the medium leg back to the short leg, we need to divide by sqrt3.

  25. zepdrix
    • one year ago
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    |dw:1433485263769:dw|

  26. zepdrix
    • one year ago
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    We are expected to "rationalize" this though. Get the irrational value out of the denominator. But does that step make sense? +_+

  27. anonymous
    • one year ago
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    a little im still a little confused since you both thought the hypotenuse was 18 ha but im still a little lost you divide 18( square root of 3)?

  28. zepdrix
    • one year ago
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    ya let's ignore my previous picture :) that was bad hehe.

  29. zepdrix
    • one year ago
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    |dw:1433485455488:dw|This is what our relationship tells us. If we start at the shortest leg, we multiply that length by sqrt3 to get the medium leg.

  30. zepdrix
    • one year ago
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    |dw:1433485530439:dw|But we're starting with the medium leg, so we don't multiply, we need to go in reverse. So yet, we'll divide by sqrt3 to get back to the short leg.

  31. zepdrix
    • one year ago
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    |dw:1433485563925:dw|

  32. zepdrix
    • one year ago
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    But we're expected to rationalize this value. They don't like when we leave square roots in the bottom. We have our short length, 18/sqrt3, We'll multiply top and bottom by sqrt3,\[\Large\rm \frac{18}{\sqrt3}\cdot\frac{\sqrt3}{\sqrt3}=?\]Do you see what this will do for us?

  33. anonymous
    • one year ago
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    it will get rid of the square roots right?

  34. zepdrix
    • one year ago
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    Yes, good, just leaving us with a 3 down there.\[\Large\rm =\frac{18\sqrt3}{3}\]

  35. anonymous
    • one year ago
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    hmm you divide the 18 by 3 right?

  36. zepdrix
    • one year ago
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    Ah yes very good, since it doesn't match any of our options yet.

  37. anonymous
    • one year ago
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    6 (square root over 3) right

  38. zepdrix
    • one year ago
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    yay good job \c:/

  39. anonymous
    • one year ago
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    wow thank \(^.^)/ that was great help and really good explanations you gave me

  40. zepdrix
    • one year ago
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    np, these special triangles are a piece of cake once you've gotten the hang of them. You should be ok after a lil while! :)

  41. wolf1728
    • one year ago
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    Gee, I did have the answer of 18/(sq root of 3) but I just went that far and didn't rationalize the denominator. Heck I'd rather give an answer of 10.3923 Oh well, zepdrix, YOU got the correct answer.

  42. wolf1728
    • one year ago
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    Gee now that I see the answers I was given: ********************************* its gives me 4 answers A 4(square root over 3) B) 12(square root over 3) C) 9 D) 6(square root over 3) ******************************** The answer 6 divided by the square root of 3 isn't specifically stated as such is it?

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