Question

The perimeter of an equilateral triangle is numerically equal to its area find the length ofthe side ofthe equilateral triangle equilateral triangle

Answer 1

So, the perimeter of the equilateral triangle with side a is equal to (a+a+a)cm=3a cm. According to the question, the area of the equilateral triangle is equal to the perimeter of the given equilateral triangle. So, the length of the side of the given equilateral triangle is 4√3cm.

Step-by-step explanation:

hope its help

Answer 2

Answer:

4√3

= 6.982 to the nearest thousandth.

Step-by-step explanation:

Let the side of triangle be of length x.

Perimeter = 3x.

Area = 0.5x * height of the triangle.

The height and 2 sides make a 30-60-90 triangle whose sides are in the ratio 1:√3:2 so in this case the height is 0.5*√3x.

So area = 0.5x *0.5*√3x

and   0.5x *0.5*√3x = 3x

0.25√3x^2 - 3x = 0

x(0.25√3x - 3) = 0

0.25√3x - 3 = 0

x = 3/0.25√3

x = 4√3.