Question : The perimeter of the triangle is 67 cm. The first side is twice the length of the second side. The third side is 11 cm more than the second side. Find the length of the shortest side of the triangle.
Option 1: 12 cm
Option 2: 14 cm
Option 3: 17 cm
Option 4: 25 cm
Correct Answer: 14 cm
Solution :
Let the second side of the triangle be x cm.
So, first side = 2x cm
Third side = (x + 11) cm
Given: Perimeter of the triangle = 67 cm
So, 2x + x + x + 11 = 67
⇒ 4x = 56
$\therefore$ x = 14 cm
Hence, the correct answer is 14 cm.
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