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The sides of a triangle are in the ratio 1/2:1/3:1/4. If the perimeter of the triangle is 52 cm, the length of the smallest side is :
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Explanation:
According to question,
Ratio of sides of triangle are
=1/2:1/3:1/4
(Take L.C.M. of 2, 3 and 4 which is 12)
=6:4:3
Now, 6x+4x+3x=52
13x=52
x=4
∴ Length of smallest side =3x=3×4=12cm