If the perimeter of an equilateral triangle is 36 units, then its area (in square units) is: What will be?
If the perimeter of an equilateral triangle is 36 units, then its area (in square units) is: What will be?
यदि एक समबाहु त्रिभुज का परिमाप 36 इकाई है, तो इसका क्षेत्रफल (वर्ग इकाई में) है: कितना होगा?
Detailed Solution & Logic
Correct Answer:
\(36\sqrt{3}\)
Solution:
Perimeter of the equilateral triangle = 36 units
Since all three sides are equal:
3a = 36
$a = 12$ units
Area of an equilateral triangle:
$A = \frac{\sqrt{3}}{4}a^2$
$A = \frac{\sqrt{3}}{4} \times 12^2$
$A = \frac{\sqrt{3}}{4} \times 144$
$A = 36\sqrt{3}$ square units
Correct Answer: 4. $36\sqrt{3}$ ✅
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