The sides of a triangle are in the ratio  ∶  ∶ . If the perimeter is 147 cm, then the length of the smallest side is ________.

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)
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  1. 12 cm
  2. 25 cm
  3. 30 cm
  4. 35 cm

Answer (Detailed Solution Below)

Option 4 : 35 cm
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Detailed Solution

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Given:

The sides of a triangle are in the ratio  ∶  ∶ .

Calculation:

LCM of 3, 5, 6 of 30

So, the ratio of sides = 30 ×  : 30 ×  : 30 × 

⇒ 10 : 6 : 5

So, 10 + 6 + 5 = 147

⇒ 21 = 147

⇒ 1 = 7

So, smallest side = 5 × 7

⇒ 35

∴ The length of the smallest side is 35 cm.

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