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dancechick76 Group Title

The ratio of three measures of a triangle is 1/4:1/8:1/6. Its perimeter is 4.75 feet. Find the length of the longest side.

  • one year ago
  • one year ago

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  1. mayankdevnani Group Title
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    |dw:1357271432608:dw|

    • one year ago
  2. radh Group Title
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    First of all, we have to make the ratios have the same denominator. So we have to find the LCM of the three. Can you do that?

    • one year ago
  3. mayankdevnani Group Title
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    can you do it?

    • one year ago
  4. dancechick76 Group Title
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    the LCM is 24

    • one year ago
  5. radh Group Title
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    Okay. So tell me the ratios given the LCM being 24.

    • one year ago
  6. dancechick76 Group Title
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    6/24:3/24:4/24

    • one year ago
  7. radh Group Title
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    Okay, so now we'd divide 4.75 by 24, because those are the ratios given. Then we'd multiply that number by 6, because that is the longest side. Get it?

    • one year ago
  8. dancechick76 Group Title
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    |dw:1357271703422:dw|

    • one year ago
  9. radh Group Title
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    Yep. That's what I got for the longest side.

    • one year ago
  10. dancechick76 Group Title
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    My book says 2.2 feet...So the correct answer should be 2.2, I just don't understand how to get that.

    • one year ago
  11. dancechick76 Group Title
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    if I add the x's together I would get 13/24x=4.75

    • one year ago
  12. dancechick76 Group Title
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    Should I divide 4.75 by 24, then multiply by 13 to find x? then plug x into the fractions?

    • one year ago
  13. radh Group Title
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    I apologize, my internet died for a moment there.

    • one year ago
  14. radh Group Title
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    I'm not sure, because that was my answer, but you should try the method mayank suggested. Let me try that too.

    • one year ago
  15. dancechick76 Group Title
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    okay

    • one year ago
  16. radh Group Title
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    Look at this: http://www.algebra.com/services/rendering/simplifier.mpl?expression=1%2F4%2Ax%2B1%2F8%2Ax%2B1%2F6%2Ax=4.75

    • one year ago
  17. radh Group Title
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    Then, the largest fraction is 1/4, and if we divided x by 4, we'd get the answer listed in the book.

    • one year ago
  18. dancechick76 Group Title
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    Oh thank you!!!!

    • one year ago
  19. radh Group Title
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    No problem. Sorry for being wrong the first time. :P

    • one year ago
  20. dancechick76 Group Title
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    haha its fine!

    • one year ago
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