If the side of an equilateral triangle is 8 cm, then find the area of the triangle (correct to two decimal places).

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 4)
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  1. 27.17 cm2
  2. 27.27 cm2
  3. 27.71 cm2
  4. 27.72 cm2

Answer (Detailed Solution Below)

Option 3 : 27.71 cm2
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Detailed Solution

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Given:

The side length of the equilateral triangle = 8 cm

Formula:

The formula to calculate the area of an equilateral triangle is given by:

Area = (√3 / 4) × (Side length)2

Solution:

Substituting the given side length of 8 cm into the formula, we can calculate the area of the equilateral triangle.

Area = (√3/4) × (8 cm)2

= (√3/4) × 64 cm2

= 16√3 cm2

27.71 cm2

Therefore, the area of the equilateral triangle is approximately 27.71 cm2 (correct to two decimal places).

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