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The longest side of a trangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

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Let the minimum length of the shortest side be x cm.
Then, the longest side `=3x cm` and the third side `=(3x -2)` cm.
`therefore x +3x +(3x-2)ge 61 rArr 7x ge 63 rArr x ge 9`.
Hence, the minimum length of the shortest side is 9 cm.

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