Question : If each side of an equilateral triangle is 12 cm, then its altitude is equal to:
Option 1: $6 \sqrt{3}\ \text{cm}$
Option 2: $3 \sqrt{6}\ \text{cm}$
Option 3: $6 \sqrt{2}\ \text{cm}$
Option 4: $3 \sqrt{2}\ \text{cm}$
Answer (1)
14th Jan, 2024
Correct Answer: $6 \sqrt{3}\ \text{cm}$
Solution :
We know that,
The altitude of an equilateral triangle = $\frac{\sqrt3}{2}$ × side $= \frac{\sqrt3}{2} × 12 =6\sqrt3\ \text{cm}$
Hence, the correct answer is $6\sqrt3\ \text{cm}$.
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