Question

i. If the area of an equilateral triangle is 9v3cm. then its perimeter is
i). 10 cm ii). 18 cm i). 21 cm iv). 24 cm​

Answer 1

Answer:

ii) 18 cm

Step-by-step explanation:

area of equilateral triangle = √3/4 a²

where a is the side of equilateral triangle

$\frac{ \sqrt{3} }{4} {a}^{2} = 9 \sqrt{3} \\ {a}^{2} = 9 \sqrt{3} \times \frac{4}{ \sqrt{3} } \\ {a}^{2} = 9 \times 4 \\ {a}^{2} = 36 \\ a = \sqrt{36} \\ a = 6$

as all the three sides of equilateral triangle are equal

perimeter of equilateral triangle = 3 × a

3 × 6 = 18 cm

answer ii) 18 cm

hope you get your answer