SOLUTION: find the perimeter of a triangle if one side is 10 feet, another side is one-third the perimeter, and the third side is half the perimeter

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Question 513038: find the perimeter of a triangle if one side is 10 feet, another side is one-third the perimeter, and the third side is half the perimeter
Answer by umail08(87) About Me  (Show Source):
You can put this solution on YOUR website!
Perimeter = sum of the sides
x = a + b + c x represents the perimeter
x=10ft + 1/3x +1/2x
-10ft + x = 10ft – 10ft + 1/3x +1/2x
-10ft + x –x =-x+1/3x+1/2x
-10ft = -6/6x+2/6x+3/6x
-10ft = -1/6x
-6(-10ft) = -6(-1/6x)
60ft = x .. therefore the perimeter is 60ft.
Check:
x=10ft + 1/3x +1/2x
60ft = 10ft + 1/3(60ft) + ½(60ft)
60ft = 10ft + 20ft + 30ft
60ft = 60ft