anonymous
  • anonymous
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.
Mathematics
chestercat
  • chestercat
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mayankdevnani
  • mayankdevnani
|dw:1357271432608:dw|
anonymous
  • anonymous
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?
mayankdevnani
  • mayankdevnani
can you do it?

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anonymous
  • anonymous
the LCM is 24
anonymous
  • anonymous
Okay. So tell me the ratios given the LCM being 24.
anonymous
  • anonymous
6/24:3/24:4/24
anonymous
  • anonymous
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?
anonymous
  • anonymous
|dw:1357271703422:dw|
anonymous
  • anonymous
Yep. That's what I got for the longest side.
anonymous
  • anonymous
My book says 2.2 feet...So the correct answer should be 2.2, I just don't understand how to get that.
anonymous
  • anonymous
if I add the x's together I would get 13/24x=4.75
anonymous
  • anonymous
Should I divide 4.75 by 24, then multiply by 13 to find x? then plug x into the fractions?
anonymous
  • anonymous
I apologize, my internet died for a moment there.
anonymous
  • anonymous
I'm not sure, because that was my answer, but you should try the method mayank suggested. Let me try that too.
anonymous
  • anonymous
okay
anonymous
  • anonymous
Look at this: http://www.algebra.com/services/rendering/simplifier.mpl?expression=1%2F4%2Ax%2B1%2F8%2Ax%2B1%2F6%2Ax=4.75
anonymous
  • anonymous
Then, the largest fraction is 1/4, and if we divided x by 4, we'd get the answer listed in the book.
anonymous
  • anonymous
Oh thank you!!!!
anonymous
  • anonymous
No problem. Sorry for being wrong the first time. :P
anonymous
  • anonymous
haha its fine!

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