The perimeter of an equation triangle is 72cm find its area. Leave your answer in radical form 

The area of an equilateral triangle is:

cm²      

Hence, the left bottom option i.e. cm² is the correct option.

Step-by-step explanation:

We know that the perimeter of a triangle is just the sum of its three sides.

Given that the perimeter of an equilateral triangle is 72cm.

i.e. cm

Important Tip:

Let 'a' be the length of an individual side of an equilateral triangle.

The length of an individual side of an equilateral triangle will be:

          ∵ The perimeter

  cm

Thus,

The length of an individual side of an equilateral triangle: a = 24 cm

The area of an equilateral triangle can be determined using the formula

where 'a' is the length of an individual side

now substitute a = 24 cm in the formula

               ∵ 24² = 576

 cm²           ∵

Therefore, the area of an equilateral triangle is:

cm²      

Hence, the left bottom option i.e. cm² is the correct option.