Question

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

Answer 1

Step-by-step 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.

$3a \: = \frac{ \sqrt{3} }{4} a { }^{2}$

REQUIRED ANSWER:-

$3a = \frac{ \sqrt{3} }{4} {a}^{2}$

$3a \times 4 = \sqrt{3} a {}^{2}$

$a = 4 \sqrt{3}$

SO, The length of its side = 4√3 cm.