Question

if the area of an equilateral triangle is 36√3cm² then the perimeter of the triangle is​

Answer 1

Answer:

Perimeter= 36 cm

Step-by-step explanation:

Answer 2

Answer :

• Perimeter of the equilateral triangle is 9cm.

Given :

• The area of an equilateral triangle is 36√3cm²

To Find :

• Perimeter of the equilateral triangle

Solution :

Here

• Area of an equilateral triangle is 36√3cm².

As we know that

• Area of an equilateral triangle is √3/4 side²

Put the values in the formula

→ Area of equilateral triangle = √3/4 side²

→ 36√3 = √3/4 side²

→ side² = 36/√3 × 4/√3

→ side² = 9

→ side = √9

→ side = 3

As we know that

• Perimeter of a triangle is sum of all sides

As it is an equilateral triangle, so, it's all sides are equal.

According to question :-

→ Perimeter of equilateral triangle = sum of all sides

→ Perimeter of equilateral triangle = 3 + 3 + 3

→ Perimeter of equilateral triangle = 9

Hence, the perimeter of the equilateral triangle is 9cm.