The area of an equilateral triangle is
The area of an equilateral triangle is \(\frac{\sqrt{5043}}{4}\) sq.cm. The side of the equilateral triangle is:
एक समबाहु त्रिभुज का क्षेत्रफल \(\frac{\sqrt{5043}}{4} cm^2\) है। समबाहु त्रिभुज की भुजा की लंबाई कितनी हैं?
Detailed Solution & Logic
Correct Answer:
\(\sqrt{41}\) cm
Area of an equilateral triangle = $ \frac{\sqrt{3}}{4}a^2 $
Given area = $ \frac{\sqrt{5043}}{4} $
$ \frac{\sqrt{3}}{4}a^2 = \frac{\sqrt{5043}}{4} $
$ \sqrt{3},a^2 = \sqrt{5043} $
$ a^2 = \sqrt{\frac{5043}{3}} $
$ = \sqrt{1681} $
$ a^2 = 41 $
$ a = \sqrt{41} $
${\sqrt{41}\text{ cm}} $
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