If the side of an equilateral triangle is 16 cm, then what is its area?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)
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  1. \(81\sqrt3\) cm2
  2. \(48\sqrt3\) cm2
  3. \(32\sqrt3\) cm2
  4. \(64\sqrt3\) cm2

Answer (Detailed Solution Below)

Option 4 : \(64\sqrt3\) cm2
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Detailed Solution

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Given:

The side of the equilateral triangle is 16 cm.

Concept used:

Area of equilateral triangle = √3/4 × a2

Here,

a = side of the triangle

Calculation:

√3/4 × 162 

√3/4 × 256

⇒ 64√3 cm2

∴ The area of the equilateral triangle is 64√3 cm2.

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