Question

The perimeter of an equilateral triangle is numerically equal to its area. Find the

length of the side of the equilateral triangle.
​

Answer 1

Explanation:

GIVEN:-

The Perimeter of an equilateral triangle is equal to its area.

UNDERSTANDING THE CONCEPT:-

Let length of each side of equilateral triangle = a cm

The triangle has 3 sides, So

= 3 × a

= 3a cm

FORMULA:-

According to the question,

Perimeter of Equilateral triangle = Area of Equilateral triangle.

`3a \: = ( √(3) )/(4) a { }^(2) \\`

REQUIRED ANSWER:-

`3a = ( √(3) )/(4) {a}^(2) \\`

`3a * 4 = √(3) a {}^(2)`

`a = 4 √(3)`

SO, The length of its side = 4√3 cm.