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Question

The longest side of a triangle is thrice the shortest side and the third side is 5 cm longer than the shortest side. If the perimeter of the triangle is atleast 60 cm then the minimum length of the shortest side is

A
11.0
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B
011
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C
11.00
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D
11
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Solution

Let the length of shortest side be x cm.
Then longest side length =3x and the third side length =x+5
Perimeter =x+3x+x+5=5x+5
Given that perimeter 60
5x+560
5x55
x11

Hence, the minimum length of the shortest side is 11 cm

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