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kay05 Group Title

the shortest side of a triangle is 7 inches shorter than the longest side. The middle side is twice as long as the short side. Find the length of all three sides if the perimeter is 31 inches.

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    longest side: L shortest side: L - 7 middle side: 2(L - 7) L + (L-7) + 2(L - 7) = 31 L + L - 7 + 2L - 14 = 31 4L - 21 = 31 4L = 52 L = 13 CHECK: Longest side: 13 Shortest side: 13 - 7 = 6 Middle side: 2(13 - 7) = 2(6) = 12 13 + 12 + 6 = 31

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