Question

find the area of equilateral triangle whose side is 2 root 3 cm​

Answer 1

$\purple\star\mathfrak\green{\large{\underline{\underline{Solution:-}}}}$

$\mathfrak \red{Area \: of \: equilateral \: \triangle} \mathfrak \pink{= }\mathfrak \blue{\frac{ \sqrt{3} }{4} \: s {}^{2}}$

$\red\star\mathfrak\purple{\large{\underline{\underline{Now\:, According\:to\: Question:-}}}}$

$\mathfrak\purple{s} \mathfrak\pink {= } \mathfrak \orange{2 \sqrt{3}}$

$\blue\star\mathfrak\orange{\large{\underline{\underline{By\: substituting\:the\:values:-}}}}$

$\mathfrak \green{\implies} \mathfrak \purple{Area \: of \: equilateral \: \triangle} \mathfrak \pink{ = } \mathfrak \orange{ \frac{ \sqrt{3} }{4} s {}^{2} }$

$\mathfrak \green {\implies} \mathfrak \purple{Area \: of \: equilateral \: \triangle} \mathfrak \pink{ = } \mathfrak \orange{ \frac{ \sqrt{3} }{4} \times 2 \sqrt{3} }$

$\red \star \mathfrak \green {\implies} \mathfrak \purple{Area \: of \: equilateral \: \triangle} \mathfrak \pink{ = } \mathfrak \orange{1.5 \: cm {}^2} \red \star \:$

Answer 2

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

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➠ Given :

Side of an equilateral triangle is 2√3 cm.

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➠ To Find :

We have to find the area of the equilateral triangle.

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➠ Solution :

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

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

$\sf{\implies Area = \frac{\sqrt{3}}{4} \times (2\sqrt{3})^2} \\ \\ \sf{\implies Area = \frac{\sqrt{3}}{\cancel{4}} \times \cancel{12}} \\ \\ \sf{\implies Area = \sqrt{3} \times 3} \\ \\ \sf{\implies Area = 3\sqrt{3}} \\ \\ \sf{\therefore \: Area \: of \: equilateral \: triangle \: is \: 3\sqrt{3} \: cm^2}$