Area of an Equilateral Triangle

To find the area of an equilateral triangle, we can use the formula:

Area = (sqrt(3) / 4) * side^2

Where:
- Area is the area of the triangle
- sqrt(3) is the square root of 3
- side is the length of one side of the equilateral triangle

Given:
- Side length = 24 cm

Calculating the Area:
Let's substitute the given value into the formula and solve for the area.

Area = (sqrt(3) / 4) * (24 cm)^2
= (sqrt(3) / 4) * (576 cm^2)
= (1.732 / 4) * 576 cm^2
= 1.732 * 144 cm^2
= 249.408 cm^2

Therefore, the area of the equilateral triangle with side length 24 cm is 249.408 cm^2.

Explanation:
- An equilateral triangle is a type of triangle where all three sides are equal in length.
- In this case, the given side length is 24 cm.
- The formula for finding the area of an equilateral triangle is (sqrt(3) / 4) * side^2.
- By substituting the value of the side length into the formula, we can calculate the area.
- After solving the equation, we find that the area of the equilateral triangle is 249.408 cm^2.

Key Points:
- Area of an equilateral triangle can be found using the formula (sqrt(3) / 4) * side^2.
- Substitute the given side length into the formula to calculate the area.
- In this case, the side length is 24 cm.
- After substituting the value and solving the equation, the area of the equilateral triangle is found to be 249.408 cm^2.