Area of equilateral triangle
The formula to find the area of an equilateral triangle is given by:
Area = (sqrt(3) / 4) * s^2
Where “s” represents the length of any side of the equilateral triangle
The formula to find the area of an equilateral triangle is given by:
Area = (sqrt(3) / 4) * s^2
Where “s” represents the length of any side of the equilateral triangle.
To understand this formula, let’s break it down step by step:
1. The square of a number “s” indicates multiplying the number by itself, i.e., s^2.
2. The term sqrt(3) stands for the square root of 3, which is an irrational number approximately equal to 1.732.
3. The fraction (sqrt(3) / 4) is a constant value derived from the geometry of equilateral triangles.
By multiplying the square of the length of any side of the equilateral triangle by the constant (sqrt(3) / 4), we obtain the area of the triangle.
Here’s an example to illustrate how to find the area of an equilateral triangle:
Suppose we have an equilateral triangle with a side length of 6 units.
Area = (sqrt(3) / 4) * (6^2)
= (sqrt(3) / 4) * 36
= 1.732 / 4 * 36
= 1.732 * 9
= 15.588 square units (rounded to three decimal places)
Therefore, the area of the equilateral triangle is approximately 15.588 square units.
More Answers:
Calculating the Area of a Trapezoid | Formula and ExampleCalculating the Area of a Triangle | Formula and Steps
Calculating the Area of a Triangle | Formulas and Methods Explained