Question

Find the length of the side of an equilateral triangle whose area is
9√3
sq.cm
(A) 12 cm
(B) 6 cm
(C) 8 cm
(D) 10 cm​

Answer 1

Answer:

option b is the correct answer

Answer 2

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Given :- Area of equilateral triangle is 9√3

To Find :- Length of triangle .

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⠀

$\therefore \sf{\underline{since \; area \; of \; triangle\; is \; \frac{ \sqrt{3} }{4} {a}^{2} \ \; }}$

⠀

⠀Therefore ,

⠀⠀⠀⠀⟹ $\frac{ \sqrt{3} }{4} {a}^{2} = \sqrt[9]{3}$

⠀⠀⠀⠀⟹ $\boxed{ \purple{ \sf {a}^{2} = 9 \times 4 }} \:$

⠀⠀⠀⠀⟹ $\boxed{ \purple{ \sf {a}^{2} = 36}} \:$

⠀⠀⠀⠀⟹ $\boxed{ \purple{ \sf a = 6 \: cm}} \:$

⠀

⠀

⠀⠀⠀⠀⠀⠀⠀⠀$\sf{\underline{hence \; side\; of\; triangle \; is\; 6 \: cm }}$

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