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.
[tex]3a \: = \frac{ \sqrt{3} }{4} a { }^{2} \\ [/tex]
REQUIRED ANSWER:-
[tex]3a = \frac{ \sqrt{3} }{4} {a}^{2} \\ [/tex]
[tex]3a \times 4 = \sqrt{3} a {}^{2} [/tex]
[tex]a = 4 \sqrt{3} [/tex]
SO, The length of its side = 4√3 cm.
