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Question

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 triangle is at least 61 cm, find the minimum length of the shortest-side.

A
9 cm
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B
11 cm
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C
16 cm
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D
61 cm
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Solution

The correct option is A 9 cm
Let the shortest side =s
Longest side =3s
Third side =3s2
Now perimeter =s+3s+3s2=7s261
7s63
s9
Thus minimum length of the shortest side=9 cm

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