Question

If perimeter and area of equilateral triangle are equal ten Fing it's area

Answer 1

let's side of triangle is a
so, perimeter of triangle is 3a
Area of equilateral triangle is (3^1/2 )/4 a^2
if perimeter and area area equal then 3a=(3^1/2 )/4 a^2

hence area is
12√​3

Answer 2

given that a+b+c=√4/3a^2
3a=√3/4a^2
a=√3/4a^2×1/3
a=√3/12a^2
a/a^2=√3/12
1/a=√3/12
so a=12/√3 or 4√3
side of triangle is 4√3
area=√3/4a^2
=√3/4×(4√3)^2
=√3/4×48
=12√3cm^2