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The altitude of an equilateral triangle of side 2√3 cm is?

  • A.3/2 cm
  • B.1/2 cm
  • C.3/4 cm
  • D.3 cm

Answer: D

The altitude of an equilateral triangle splits it into two 30–60–90 triangles, giving

\[ h = \frac{\sqrt{3}}{2}a \]

\[ h = \frac{\sqrt{3}}{2} \times 2\sqrt{3} = \frac{2 \times 3}{2} = 3 \text{ cm} \]

Equivalently, by Pythagoras: \( \sqrt{(2\sqrt{3})^{2} - (\sqrt{3})^{2}} = \sqrt{12 - 3} = 3 \).

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