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Question

The longest side of a triangle is three times the shortest side and 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.

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Solution

Let the shortest side of the triangle be x cm.
Then, the longest side will be 3x and the third side will be 3x − 2.

Perimeter of the triangle61x+3x+3x-2617x61+2x9 (Dividing throughout by 7)Hence, the minumum length of the shortest side is 9 cm.

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