Question

If the area of an equilateral triangle is 81√3 cm^2. Find its
perimeter​

Answer 1

Answer:

54

Step-by-step explanation:

given

area of a equilateral triangle=81√3 cm^2

area of a equilateral triangle=√3/4a²

√3/4a²=81√3

a=18

perimeter of an equilateral triangle=3a

3(18)=54

Answer 2

Step-by-step explanation:

area of equilateral triangle is 81√3cm²

area of equilateral triangle= √3/4a²

where 'a' is side

according to the question,

A = √3/4a²

81√3= √3/4a²

√3a² = 81√3×4

a² = 81√3×4/√3

a² = 81 ×4. ( √3 cancels out )

a² = 324

a = √324

a = 18 cm

perimeter of equilateral triangle is 3a

perimeter = 3×18

p = 54cm

hope it helps you