anonymous
  • anonymous
ACT MATH REVIEW QUESTION PLEASE HELP : a triangle with a perimeter of 66 inches has one side that is 16 inches long. The lengths of the other two sides have a ratio of 2:3. What is the length, in inches, of the longest side of the triangle?
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Vocaloid
Vocaloid
  • Vocaloid
well, the perimeter is 66 inches and one side is 16 inches. our first step is to find the combined length of the other two sides first step: 66-16 = ?
anonymous
  • anonymous
@kat0kitty

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anonymous
  • anonymous
66-16 =
anonymous
  • anonymous
50
Vocaloid
  • Vocaloid
right, so we know that the other two sides have a combined length of 50 the 2:3 ratio tells us that one side is 2x and the other is 3x 2x + 3x = 50 solve for x
anonymous
  • anonymous
x=10?
Vocaloid
  • Vocaloid
right, now we can plug x = 10 back into our other equations 2x = ? 3x = ?
anonymous
  • anonymous
20 and 30
Vocaloid
  • Vocaloid
right. so, all this tells us that the three sides of the triangle are 16, 20, and 30 so the longest side is 30
anonymous
  • anonymous
ok, thank you! would you mind helping me with another problem on ACT review? @Vocaloid
Vocaloid
  • Vocaloid
sure, post a new question and tag me
anonymous
  • anonymous
ok, will do:-)

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