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The longest side of a triangle 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 length of the shortest side of the triangle be x cm. Then, length of the longest side = 3x cm Length of the third side = (3x – 2) cm Since the perimeter of the triangle is at least 61 cm, Thus, the minimum length of the shortest side is 9 cm.
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Let the length of the shortest side of the triangle be x cm.

Then, length of the longest side = 3x cm

Length of the third side = (3x – 2) cm

Since the perimeter of the triangle is at least 61 cm,

Thus, the minimum length of the shortest side is 9 cm.

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Let the shortest side =x cmlongest side=3x cmthird side=3x-2perimeter = 61 cmx+3x+3x-2=617x=61+27x=63x =63/7x= 9minimum length of shortest side = x= 9 cm
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