Math, asked by rsen20214, 1 month ago

Q.14 Find the side of an equilateral triangle whose area is 12√3cm²​

Answers

Answered by adityakundu984
0

Answer:

4

 \frac{1}{2}

Answered by ladlikhan345
1

let \: the \: side \: of \: equilateral  \: triangle \:  = x \\ (ad) {}^{2}  + ( \frac{x}{2} ) {}^{2}  = (x) {}^{2}  \\ (ad) {}^{2}  = (x) {}^{2}  - ( \frac{x}{2}) {}^{2}  \\ (ad) {}^{2}  = x {}^{2}  -   \frac{x {}^{2} }{4}  \\ (ad) {}^{2}  = \frac{3x {}^{2} }{4}  \\ ad =  \sqrt{ \frac{3x {}^{2} }{4} }  \\ ad =   \sqrt{3}  \frac{x}{2}  \\ area \: of \: triangle \:  =  \frac{1}{2}  \times base \times height \\ 12 \sqrt{3 }  =  \frac{1}{2}  \times x \times  \sqrt{3}  \frac{x}{2}  \\ x =  \sqrt{48}  \\ x = 4 \sqrt{3}

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