Question : The lengths of the three sides of a triangle are in the ratio of 2 : 2 : 3. If the perimeter of the triangle is 42 cm, then what is the length of the largest side?
Option 1: 12 cm
Option 2: 18 cm
Option 3: 20 cm
Option 4: 15 cm
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Correct Answer: 18 cm
Solution : Given: perimeter = 42 cm Let the sides of the triangle be $2x, 2x$, and $3x$. Perimeter = Sum of the sides of the triangle ⇒ $42=2x+2x+3x$ ⇒ $42=7x$ ⇒ $x=6$ $\therefore$ The largest side $= 3x=3\times6=18$ cm Hence, the correct answer is 18 cm.
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