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Mathematics

The area of an equilateral triangle is 16316\sqrt{3} cm2. The length of its each side is :

  1. 4 cm

  2. 6 cm

  3. 8 cm

  4. 9 cm

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Answer

Let each side of equilateral triangle be a cm.

Area of equilateral triangle = 34\dfrac{\sqrt{3}}{4} a2

163=3416\sqrt{3} = \dfrac{\sqrt{3}}{4} a2

⇒ 64 = a2

⇒ a = 64\sqrt{64}

⇒ a = 8 cm.

Hence, option 3 is the correct option.

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