Discussion

The length of each side of an equilateral triangle having an area of 4√3 cm² is?

Answer: D

Use the equilateral-triangle area formula and solve for the side.

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

\[ a^{2} = \frac{4\sqrt{3} \times 4}{\sqrt{3}} = 16 \]

\[ a = 4 \text{ cm} \]

The \( \sqrt{3} \) cancels from both sides, which is why the answer comes out a whole number.

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