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m = middle side length

shortest side length is 75 miles less than the middle side length m; so, use (m - 75) to represent the length of the shortest side

longest side length is 375 miles longer than the middle side length m; so, us (m + 375) to represent the length of the longest side

perimeter of the triangle = the sum of all the side lengths

3075 = m + (m - 75) + (m + 375)

3075 = 3m + 300

2775 = 3m

925 = m

3075 = 925 + (925 - 75) + (925 + 375)

Therefore, the lengths of the sides from smallest side to longest side are: 850 miles, 925 miles, and 1300 miles

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