Points A and B are two vertices of an equilateral triangle, what is the perimeter of the triangle? Round to three decimal places.

a) 7.746 units

b) 60 units

c) 20 units

d) 13.416 units

Step-by-step explanation:

Given that the points A and B are two vertices of an equilateral triangle.

Let a be the side of the triangle

We know that the Area of an equilateral triangle with length of side a is  

square units

Perimeter of the triangle = sum of all sides

=a+a+a

∴ Perimeter of the triangle=3a  units

Let equate the Area of the equilateral triangle = Perimeter

Substitute the values we get

Therefore units

Substitute the value of a in the perimeter we get

Perimeter=3a

units

=12×1.732

=20.784 units