Question

find the each side of the equilateral triangle whose area is 4√3 cm^2​

Answer 1

Answer:

$\bold \: {area \: of \: equilateral \: triangle = \frac{ \sqrt{3} {a}^{2} }{4} } \\ = 4 \sqrt{3} = \frac{ \sqrt{3} {a}^{2} }{4} \\ \frac{4 \sqrt{3} \times 4 }{ \sqrt{3} } = {a}^{2} \\ 16 = {a}^{2} \\ \bold{\underline{a = 4}} \\ hope \: it \: helps \: u...$

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

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➠ Given :

Area of an equilateral triangle is 4√3 cm².

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➠ To Find :

We have to find the side of the equilateral triangle.

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➠ Solution :

We know the formula to find the area of the equilateral triangle.

$\Large{\boxed{\boxed{\sf{Area = \frac{\sqrt{3}}{4} \times (Side)^2}}}}$

$\sf{\implies 4\cancel{\sqrt{3}} = \frac{\cancel{\sqrt{3}}}{4} \times (Side)^2} \\ \\ \sf{\implies (Side)^2 = 4 \times 4} \\ \\ \sf{\implies Side = \sqrt{16}} \\ \\ \sf{\implies Side = (\sqrt{4})^2} \\ \\ \sf{\implies Side = 4 \: cm}$