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

Explanation

Let the minimum length of the shortest side be `x`.

Then the longest side of a triangle is 3x and the third side is `3x – 2`

Perimeter of the `triangle ≥ 61`

`x + 3x + 3x – 2 ≥ 61`

`7x – 2 ≥ 61`

`7x ≥ 61 + 2`

`7x ≥ 63`

`x ≥ 9`

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