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Each side of an equilateral triangle is 6 cm. Find its area.

  • A.9√3 sq.cm.
  • B.6√3 sq.cm.
  • C.4√3 sq.cm.
  • D.8√3 sq.cm.

Answer: A

\[ A = \frac{\sqrt{3}}{4}a^{2} = \frac{\sqrt{3}}{4} \times 36 \]

\[ = 9\sqrt{3} \approx 15.6 \text{ sq. cm} \]

The side is squared before the constant is applied - multiplying 6 by \( \tfrac{\sqrt{3}}{4} \) directly would give \( 1.5\sqrt{3} \).

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