MCQ
Write the correct answer in the following: The area of an equilateral triangle with side $2\sqrt{3}\text{cm}$ is:
  • $5.196 \mathrm{~cm}^2$
  • B
    $0.866 \mathrm{~cm}^2$
  • C
    $3.496 \mathrm{~cm}^2$
  • D
    $1.732 \mathrm{~cm}^2$

Answer

Correct option: A.
$5.196 \mathrm{~cm}^2$

Area of equilateral $\triangle=\frac{\sqrt{3}}{4}(\text{side})^2$
$=\frac{\sqrt{3}}{4}\big(2\sqrt{3}\big)^2=3\sqrt{3}=3\times1.732$
$=5.196\text{cm}^2$

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