Step-by-step explanation:
GIVEN:-
The Perimeter of Equilateral triangle = 60cm
UNDERSTANDING THE CONCEPT:-
According to the question,
To find the height of the triangle,
Perimeter of Equilateral triangle = Area of Equilateral triangle.
FORMULA USED:-
[tex]60 = \frac{ \sqrt{3} }{4} a {}^{2} \\ [/tex]
REQUIRED ANSWER:-
[tex]60 \times 4 = \sqrt{3a {}^{2} } [/tex]
[tex]a {}^{2} = 240 \sqrt{3} \\ [/tex]
[tex]a = 120 \sqrt{3} cm[/tex]
SO, The Exact height of the triangle is 120√3cm.
