Question

find the perimeter of an equlateral triangle whose area is 4root3

Answer 1

Answer:

area of equilateral triangle=4√3cm^2

√3/4×s×s=4√3

s=√16=4

perimeter of equilateral triangle =3a

3×4

12cm

Step-by-step explanation:

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Answer 2

Given :

Area of an equilateral triangle = 4√3 units²

Also ,

Area of an equilateral triangle = (√3/4) × a²

Finding the side of equilateral triangle ,

[ Where a = side of an equilateral triangle ]

→ 4√3 = (√3/4) × a²

→ 4√3 × 4 = a²

→ 16√3 = a²

→ ( 16 √3 / √3 ) = a²

→ a = √16

→ √8 × √2 = a

→ √2 × 1.414 = a

[ ∵ √2 = 1.414 ]  and { √8 = √2³ = √2 }

→ a = 1.414√2

Side of an equilateral triangle = 1.414√2 units

So for finding perimeter of an equilateral triangle

Perimeter of an eqilateral triangle = 3a

→ 3 × 1.414√2

→ 4.242√2

Therefore , perimeter of an equilateral triangle is 4.242√2 units

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