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dancechick76

  • 3 years ago

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.

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  1. mayankdevnani
    • 3 years ago
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    |dw:1357271432608:dw|

  2. radh
    • 3 years ago
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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?

  3. mayankdevnani
    • 3 years ago
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    can you do it?

  4. dancechick76
    • 3 years ago
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    the LCM is 24

  5. radh
    • 3 years ago
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    Okay. So tell me the ratios given the LCM being 24.

  6. dancechick76
    • 3 years ago
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    6/24:3/24:4/24

  7. radh
    • 3 years ago
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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?

  8. dancechick76
    • 3 years ago
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    |dw:1357271703422:dw|

  9. radh
    • 3 years ago
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    Yep. That's what I got for the longest side.

  10. dancechick76
    • 3 years ago
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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.

  11. dancechick76
    • 3 years ago
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    if I add the x's together I would get 13/24x=4.75

  12. dancechick76
    • 3 years ago
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    Should I divide 4.75 by 24, then multiply by 13 to find x? then plug x into the fractions?

  13. radh
    • 3 years ago
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    I apologize, my internet died for a moment there.

  14. radh
    • 3 years ago
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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.

  15. dancechick76
    • 3 years ago
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    okay

  16. radh
    • 3 years ago
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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

  17. radh
    • 3 years ago
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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.

  18. dancechick76
    • 3 years ago
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    Oh thank you!!!!

  19. radh
    • 3 years ago
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    No problem. Sorry for being wrong the first time. :P

  20. dancechick76
    • 3 years ago
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    haha its fine!

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