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The area of an equilateral triangle is \( \Large \Large 4\sqrt{3} \)sq cm. Find the length of each side of the triangle

Correct Answer:

A) 3 cm |

B) \( \Large 2\sqrt{2} \)cm |

C) \( \Large 2\sqrt{3} \)cm |

D) 4 cm |

Correct Answer:

D) 4 cm |

Description for Correct answer:

Area of equilateral triangle = \( \Large \frac{\sqrt{3}}{4}a^{2} \)

=> \( \Large 4\sqrt{3}=\frac{\sqrt{3}}{4}a^{2}\) => \( \Large a^{2} \)=16

a=\( \Large \sqrt{16} \)=4cm

Area of equilateral triangle = \( \Large \frac{\sqrt{3}}{4}a^{2} \)

=> \( \Large 4\sqrt{3}=\frac{\sqrt{3}}{4}a^{2}\) => \( \Large a^{2} \)=16

a=\( \Large \sqrt{16} \)=4cm

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