Triangle, Sides, and Perimeter

The lengths of the sides of a triangle measured in inches are three consecutive integers. The length of the shortest side is 30% of the perimeter. Find the lengths of the three sides.


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n = 0.3(n + n + 1 + n + 2)
n = 0.3(3n + 3)
n = 0.9n + 0.9
0.1n = 0.9
n = 9

The sides are 9, 10, and 11 inches; the perimeter is 30 inches.

Check: 30% of 30 is 9.

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