Question
The side of a triangle are in the ratio of `1/2 : 1/3 : 1/4` . If the perimeter is 52 cm. Then the length of the smallest side is :
Answer: Option D
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Ratio of sides = `1/2 : 1/3 : 1/4` = 6 : 4 : 3.
Perimeter = 52 cm. So, sides are `(52 xx 6/13)`cm, `(52 xx 4/13)` cm and `(52 xx 3/13)` cm.
`:.` a = 24 cm , b = 16 cm, c = 12 cm.
`:.` Length of smallest side = 12 cm.
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