Question

please answer question number 2 .​

Answer 1

Solution

given

area = 4√3 cm^2

we know that,

area of equilateral triangle = √3/4*side ^2

4√3=√3/4*side^2

16=side^2

4 = side

hence

side of equilateral triangle is 4cm

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Answer 2

${\huge{\pink{\underline{\underline{\purple{\mathbb{\bold{\mathcal{AnSwEr..}}}}}}}}}$

${\large{\blue{\bold{\underline{Given:-}}}}}$

▪︎ Area of equilateral triangle,

$= 4 \sqrt{3} \: cm {}^{2}$

▪︎ Let the side of equilateral triangle be x.

${\large{\blue{\bold{\underline{Now,}}}}}$

▪︎ We know that area of an equilateral triangle,

$= \frac{ \sqrt{3} }{4} \times side {}^{2} \\ \\ \implies \: \frac{ \sqrt{3} }{4} \times {x}^{2} = 4 \sqrt{3} \: cm {}^{2} \\ \\ \implies \frac{ \sqrt{3} {x}^{2} }{4} = 4 \sqrt{3} cm {}^{2} \\ \\ \implies \sqrt{3} {x}^{2} = 4(4 \sqrt{3} \: cm {}^{2}) \\ \\ \implies \: {x}^{2} = \frac{16 \sqrt{3 } cm {}^{2} }{ \sqrt{3} } \\ \\ \implies {x}^{2} = 16 \: cm {}^{2} \\ \\ \implies \: x = \sqrt{16 \: cm {}^{2} } \\ \\ \implies \: x = 4 \: cm$

☆ Therefore the side of the equilateral triangle is 4cm.

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