If the side of an equilateral triangle is 24 cm, then what is its area?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. 169 \(\sqrt3\) cm2
  2. 125 \(\sqrt3\) cm2
  3. 256 \(\sqrt3\) cm2
  4. 144 \(\sqrt3\) cm2

Answer (Detailed Solution Below)

Option 4 : 144 \(\sqrt3\) cm2
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Detailed Solution

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Given:

The side of an equilateral triangle is 24 cm.

Concept used:

Area of an equilateral triangle = \(\frac {\sqrt3a^2}{4}\) (a = measure of each side)

Calculation:

Area of the equilateral triangle

⇒ \(\frac {\sqrt3 \times 24^2}{4}\)

⇒ 144 \(\sqrt3\) cm2

∴ The area of the equilateral triangle is 144 \(\sqrt3\) cm2.

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