If the area of an equilateral triangle is 16√3 sq cm, then the length of each side of the triangle is: 

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RRB Technician Grade III Official Paper (Held On: 29 Dec, 2024 Shift 1)
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  1. 10 cm
  2. 8 cm
  3. 12 cm
  4. 5 cm

Answer (Detailed Solution Below)

Option 2 : 8 cm
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Detailed Solution

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Given:

The area of an equilateral triangle = 16√3 sq cm

Formula used:

Area of an equilateral triangle = (√3/4) × a2

Where, a = side length

Calculation:

(√3/4) × a2 = 16√3

⇒ a2 = (16√3 × 4)/√3

⇒ a2 = 16 × 4

⇒ a2 = 64

⇒ a = √64

⇒ a = 8 cm

∴ The correct answer is option 2.

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