SOLUTION: The Perimeter of a triangle is 57 centimeters. The longest side is 3 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the l

Algebra ->  Triangles -> SOLUTION: The Perimeter of a triangle is 57 centimeters. The longest side is 3 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the l      Log On


   

Question 350753: The Perimeter of a triangle is 57 centimeters. The longest side is 3 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the longest side. Find the lengths of each side of the triangle
Answer by stanbon(75887) About Me  (Show Source):
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The Perimeter of a triangle is 57 centimeters. The longest side is 3 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the longest side. Find the lengths of each side of the triangle.
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L = M+S-3
2S = L-17
L + M + S = 57
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Rearrange:
L - M - S = -3
L + 0 -2S = 17
L + M + S = 57
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Use any method you know to solve.
I got the following:
L = 27
M = 35
S = 5
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Cheers,
Stan H.
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