The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If its perimeter is 52 cm, the length of the smallest side is :

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RRB ASSISTANT LOCO PILOT (Patna) 2013 click here to view all questions

The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If its perimeter is 52 cm, the length of the smallest side is :

A9 cm

B10 cm

C11 cm

D12 cm

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Correct answer is: 12 cm Explanation: $\text{Let the sides be } \frac{1}{2}x, \frac{1}{3}x,\frac{1}{4}x$ $\text{Perimeter }= a+b+c$ $52cm = \frac{1}{2}x+\frac{1}{3}x+\frac{1}{4}x$   $52cm= \frac{(6x+4x+3x)}{12}$ $52= \frac{13}{12}x$ $\frac{52\times12}{13}=x$ $4\times12=x=48$ $\text{Sides are }\frac{1}{2}\times48=24cm;$ $\frac{1}{3}\times48=18cm;$ $\frac{1}{4}\times48=12cm$ $\therefore \text{12 cm is the smallest side}$ rihad ? answered Jan 8 '2020 at 10:44 All Comments

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