Question

The area of a equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimal places.

Answer 1

hey mate
here's the solution

Answer 2

$\red{HEY\:BUDDY!!}$

HERE'S THE ANSWER..

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♠️ Here we go.. :)

▶️ Area of equilateral triangle

$= > area = \sqrt{3} {a}^{2} \div 4$

▶️ Perimeter of equilateral triangle

= > $perimeter = 3a$

⏺️ Where ( a ) is one side of triangle

♠️ According to question

=> Area = perimeter

=> $\bold{3a \:= \sqrt{3} a^2 \div 4}$

=> $\bold{ a^2 \div a \:= \: 4 × 3 \div \sqrt{3}}$

=> $\boxed{a \:= \:4 \sqrt{3}}$

▶️ Now for perimeter

=> Perimeter = 3 × a

=> Perimeter = 3 × 4√3

=> $\boxed{ Perimeter \:=\:12\sqrt{3}}$

▶️ Now √3 = 1.73

=> $\boxed{ Perimeter \:=\:12 × 1.73}$

=> $\boxed{ Perimeter \:=\:20.78\: unit}$

HOPE HELPED..

$\red{JAI \:HIND..}$

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