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The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter then the longest side.

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The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter then 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 x, 3x, 3x – 2 be the sides of a triangle

Given: x + 3x + 3x – 2 ≥ 61

7x ≥ 63

x ≥ 9.

∴ Minimum length of shortest side = 9 cm.

∴ Other sides are 27 and 25.

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