Question

(g) The area of an equilateral triangle is 36 √3 cm². Its perimeter is:
(i) 36 cm (ii) 12 √3 cm (iii) 24cm (iv) 30
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Answer 1

Answer:

12root 3 cm

12root 3 cm ok

12root 3 cm okStep-by-step explanation:

12root 3 cm okStep-by-step explanation:pls mark me as BRAINLIEST

Answer 2

Answer:

$\: \huge \underline{ \sf{ \red{Given}}}$

Area of an equilateral triangle is 36√3 cm².

Find:- It's perimeter

Solution:-

${\sf}{area \: of \: an \: equilateral \: triangle = \frac{ \sqrt{3} }{4} {a}^{2} }$

$\frac{ \sqrt{3} }{4} {a}^{2} = 36 \sqrt{3}$

${a}^{2} = \frac{4 \times 36 \sqrt{3} }{ \sqrt{3} }$

${a}^{2} = 36 \times 4$

${a}^{2} = 144$

$a = \sqrt{144}$

$a = 12$

Perimeter of equilateral triangle = (a+a+a)

=(12+12+12) =36

The perimeter of equilateral triangle is 36 cm