Question

the area of an equilateral triangle is numerically equal to its perimeter. Find its perimeter correct to 2 decimals

Answer 1

Let the side of an equilateral triangle is a

perimeter of equilateral triangle= area of equilateral triangle

3a= (√3/4)a^2
a= (4×3)/√3
a= (4×3)×√3/ √3×√3. ( by rationalising)
a= 4√3
side = 4√3
perimeter of equilateral triangle= 3a
perimeter of equilateral triangle= 3× 4√3
perimeter of equilateral triangle= 12√3
perimeter of equilateral triangle= 12× 1.732
perimeter of equilateral triangle= 20.78 units

Answer 2

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