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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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- 24 cm
- 10 cm
- 12 cm
- 9 cm
- 24 cm
Correct Option: C
According to question, Ratio of sides of triangle
= | : | : | = 6 : 4 : 3 | |||
2 | 3 | 4 |
Now, 6x + 4x + 3x = 52 cm.
13x = 52
∴ x = 4cm
∴ Length of smallest side = 3x = 4 × 3 = 12cm