MCQ
The area of an equilateral triangle is $36\sqrt{3}\text{cm}^2.$ Its perimeter is:
- ✓$36\ cm$
- B$12\sqrt{3}\text{cm}$
- C$24\ cm$
- D$30\ cm$
✓
Answer
Correct option: A.
$36\ cm$
Area of equilateral triangle $=\frac{\sqrt{3}}{4}\times(\text{side})^2$
$\Rightarrow\frac{\sqrt{3}}{4}\times(\text{side})^2=36\sqrt{3}$
$\Rightarrow(\text{Side})^2=144$
$\Rightarrow\text{Side}=12\text{cm}$
Now,
Perimeter $= 3 × 12 = 36\ cm$
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