Question

7. Find the area of an equilateral triangle with side 2√3 cm.​

Answer 1

area an equilateral triangle =√3\4a2

Answer 2

$\purple\star\mathfrak{\pink{\underline{\underline{Answer :-}}}}$

Given :-

Side of equilateral triangle(a) = 2√3 cm

To Find :-

Area of equilateral triangle

Solution :-

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

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

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

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

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

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

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