SOLUTION: I have no clue what half-again is, the teacher never discussed it, please help. Here is the problem: The longest side of a triangle is half-again as long as the shortest side. The

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Question 86283: I have no clue what half-again is, the teacher never discussed it, please help. Here is the problem: The longest side of a triangle is half-again as long as the shortest side. The other side is 2 feet shorter than the longest side. The perimeter of the triangle is 22 feet. Find the length of each side of the triangle.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The longest side of a triangle is half-again as long as the shortest side. The other side is 2 feet shorter than the longest side. The perimeter of the triangle is 22 feet. Find the length of each side of the triangle.
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Comment: half-again as long as 6 would be 6+(1/2)6 = 6+3 = 9
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Let the shortest side have length = x.
The longest side will be x+(1/2)x = (3/2)x
The "other side" is (3/2)x-2
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Perimeter = side + side + side
22 = x + (3/2)x + (3/2)x-2
24 = 4x
x = 6 feet (shortest side)
longest side = (3/2)x = 9 ft.
other side = 7 ft
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Cheers,
Stan H.