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Answer :
Final answer:
The length of the shortest side of the triangle is 14 inches, the length of the medium side is 17 inches, and the length of the longest side is 28 inches.
Explanation:
Let x be the shortest side of the triangle. Since the medium side is 3 inches more than the shortest side, the medium side is x+3 inches. And since the longest side is 11 inches longer than the medium side, the longest side is x+3+11 = x+14 inches.
The perimeter of a triangle is the sum of all its sides. So, we can set up the equation: x + (x+3) + (x+14) = 59. Simplifying the equation, we get 3x + 17 = 59. Subtracting 17 from both sides, we get 3x = 42. Dividing both sides by 3, we get x = 14.
Therefore, the length of the shortest side is 14 inches, the length of the medium side is 14+3 = 17 inches, and the length of the longest side is 14+3+11 = 28 inches.
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