Question

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

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

Hint:

For an equilateral triangle, the height formula is: \[ h = \frac{\sqrt{3}}{2} s \] where \( s \) is the side length.

Answer 1

The Correct Option is B

The height formula of an equilateral triangle is:
\[ h = \frac{\sqrt{3}}{2} s \] Substituting \( s = 12 \): \[ h = \frac{\sqrt{3}}{2} \times 12 \] \[ h = 6\sqrt{3} \]