Question

the area of an equilateral triangle is 9root3cm^2 find its length of its sides also find its perimeter

Answer 1

Given that,

Triangle is equilateral so in this case we aply a new formula

$= > area \: of \: equilatera \: triangle \: = 9 \sqrt{3} \: {cm}^{2} \\ \\ we \: know \: that \: \\ \\ = > ar(equil \: triangle) = \frac{ \: \sqrt{3} {side}^{2} }{4} \\ \\ = > 9 \sqrt{3} = \frac{ \sqrt{3} {side}^{2} }{4} \\ \\ = > {side}^{2} = 9 \times 4 \\ \\ = > {side}^{2} = 36 \\ \\ = > side = 6 < = = = = cm \: \\ \\ \\ i \: hope \: it \: will \: help \: you$

So perimeter = 3× 6

=> Perimeter => 18 cm

Thanks have a good day

Answer 2

Heya !!!


Area of an equilateral ∆ = 9 root 3




root 3 × (Side)²/ 4 = 9 root 3






=> (Side)² × root 3 = 9 root 3 × 4





=> (Side)² = 9 root 3 × 4 / root 3




=> side² = 9 × 4






=> Side = root 36





=> Side = 6 cm






Therefore,





Perimeter of an equilateral ∆ = ( 3 × Side)





=> 3 × 6




=> 18 cm






★ ★ ★ HOPE IT WILL HELP YOU ★ ★ ★