Calculating the Height of an Equilateral Triangle

What is an Equilateral Triangle?

An equilateral triangle is a triangle with three sides of equal length. In an equilateral triangle, all three sides are the same length and all three angles are the same, measuring 60 degrees. Because all three sides of an equilateral triangle are equal, the height of the triangle will always be the same regardless of the length of the sides.

How to Calculate the Height of an Equilateral Triangle?

The height of an equilateral triangle can be calculated using the following formula:

Height = (side length² x √3) / 2

For example, if the side length of the triangle is 5 cm, the height of the triangle can be calculated as follows:

Height = (5² x √3) / 2 = 12.5 cm

How to Calculate the Area of an Equilateral Triangle?

The area of an equilateral triangle can be calculated using the following formula:

Area = (side length² x √3) / 4

For example, if the side length of the triangle is 5 cm, the area of the triangle can be calculated as follows:

Area = (5² x √3) / 4 = 6.25 cm²

Conclusion

Calculating the height and area of an equilateral triangle is a simple and straightforward process. By using the formulas provided above, you can easily and quickly calculate the height and area of any equilateral triangle.