Answer:
62 cm^2
Step-by-step explanation:
An equilateral triangle is shown.
Perimeter = 36 cm
Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot
What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.
15 square centimeters
25 square centimeters
62 square centimeters
72 square centimeters
The area of the equilateral triangle will be 62 square centimetres.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called as the area of the triangle.
Heron's formula is used to calculate the areas of the triangles when the sides of the triangles are not equal. But here we are calculating the area for equilateral triangles.
Given that the perimeter of the triangle is 36 cm and the side of the equilateral triangle is 12 cm.
The heron's formula is given as below:-
[tex]A = \sqrt{s(s-a)(s-b)(s-c)[/tex]
The semiperimeter is calculated as follows:-
s = 36 / 2 = 18 cm
Substitute all the given data in the formula above.
[tex]A = \sqrt{(18(18-12)(18-121)(18-12)[/tex]
[tex]A = \sqrt{(18\times 6\times 6\times 6)[/tex]
A = √3888
A = 62.35 square centimeter.
Therefore, the area of the equilateral triangle is 62.35 square centimetres.
To know more about an area follow
https://brainly.com/question/20934807
#SPJ5
