Question

the length of each side of an equilateral triangle having an area of
$9 \sqrt{3}$
${cm}^{2}$
is
option A 8cm
option B 6 cm
option C 36 cm
option D 4 cm
​
explain also

Answer 1

Question:-

The length of each side of an equilateral triangle having an area of 9√3cm².

Options:-

(A) 8cm.

(B) 6cm.

(C) 36cm.

(D) 4cm.

Given:-

• Area of equilateral triangle = 9√3cm².

To Find:-

• Length of each side.

Solution:-

We know that,

${ \boxed{ \sf \large \red{Area \: of \: quadrilateral \: triangle \: = \frac{ \sqrt{3} }{4} a {}^{2} .}}}$

• Where a is the side.

Therefore,

$\sf \large \frac{ \sqrt{3} }{4} a {}^{2} = 9 \sqrt{3}$

$\sf \large a {}^{2} = 9 \times 4$

$\sf \large a {}^{2} = 36$

$\sf \large a = 6cm.$

Answer:-

${ \boxed{ \sf \large \red{Hence, \: the \: side \: of \: the \: triangle \: is  \: \mathfrak{6cm}.}}}$

Hope you have satisfied. ⚘

Answer 2

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