The perimeter of an equilateral triangle is ?3 times it's area.Find the length of each side

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Solution

Dear student,
$P e r i m e t e r o f a n e q u i l a t e r a l t r i a n g l e = \sqrt{3} \times a r e a o f t r i a n g l e \Rightarrow 3 a = \sqrt{3} \times \frac{\sqrt{3}}{4} a^{2} - - [w h e r e a i s s i d e o f t r i a n g l e] \Rightarrow 1 = \frac{3 \times a^{2}}{4 \times 3 \times a} \Rightarrow 1 = \frac{a}{4} \Rightarrow a = 4 u n i t s t h u s t h e l e n g t h o f e a c h s i d e i s 4 u n i t s .$
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