SOLUTION: the palmyra triangle has a perimeter of 3000 miles. the side of middle length is 3 times as long as the shortest side. the longest side is 2 times as long as the middle side. how l

Algebra ->  Triangles -> SOLUTION: the palmyra triangle has a perimeter of 3000 miles. the side of middle length is 3 times as long as the shortest side. the longest side is 2 times as long as the middle side. how l      Log On


   

Question 557145: the palmyra triangle has a perimeter of 3000 miles. the side of middle length is 3 times as long as the shortest side. the longest side is 2 times as long as the middle side. how long is each side?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the palmyra triangle has a perimeter of 3000 miles. the side of middle length is 3 times as long as the shortest side. the longest side is 2 times as long as the middle side. how long is each side?
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Let shortest be "x".
Middle is "3x"
Longest = 2(3x) = "6x".
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Equation:
x + 3x + 6x = 3000
10x = 3000
x = 300 miles (shortest)
3x = 900 miles (middle)
6x = 1800 miles (longest)
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Cheers,
Stan H.
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