Question

If one side of an equilateral triangle is 12 cm, then its height is

• A. \( 6\sqrt{2} \, \text{cm}
  \)
• B. \( 6\sqrt{3} \, \text{cm} \)
• C. \( 3\sqrt{6} \, \text{cm} \)
• D. \( 6\sqrt{6} \, \text{cm} \)

Hint:

The height of an equilateral triangle is given by \( h = \frac{\sqrt{3}}{2} \times \text{side length} \).

Answer 1

The Correct Option is B

Step 1: In an equilateral triangle, the height \( h \) is given by: \[ h = \frac{\sqrt{3}}{2} \times \text{side length} \] Step 2: Substituting the side length \( 12 \, \text{cm} \) into the formula: \[ h = \frac{\sqrt{3}}{2} \times 12 = 6\sqrt{3} \, \text{cm} \] Thus, the correct answer is \( 6\sqrt{3} \, \text{cm} \).