Math, asked by nikhils0095, 6 hours ago

please answer this question please​

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Answered by MysticSohamS
1

Answer:

your answer is as follows

pls mark it as brainliest

Step-by-step explanation:

to \: find :  \\ length \: of \: side \: of \: an \\ equilateral \: triangle \\  \\ so \: we \: know \: that \\ area \: of \: equilateral \: triangle =   \\ \frac{ \sqrt{3} }{4}  \times side {}^{2}  \\  \\ 9 \sqrt{3}  =  \frac{ \sqrt{3} }{4}  \times s {}^{2}  \\  \\ 9 \times 4 = s {}^{2}  \\  \\  = 36 \\  \\ taking \: square \: roots \: on \: both \: sides \\ we \: get \\  \\ side = 6.cm

Answered by AllenGPhilip
2

Answer:

6 cm

Step-by-step explanation:

The area of an equilateral triangle = \frac{\sqrt{3}a^{2}  }{4}

               \frac{\sqrt{3}a^{2}  }{4}  = 9\sqrt{3}\\\\a^{2} = \frac{9\sqrt{3} * 4 }{\sqrt{3} } \\\\a^{2} = 36\\\\a = 6 cm

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