Equilateral Triangle Calculator

Equilateral Triangle Calculator is a tool used to calculate various properties of an equilateral triangle, such as its area, perimeter, and height, based on the length of its side.

What is the purpose of the Equilateral Triangle Calculator?

The Equilateral Triangle Calculator helps calculate the area, perimeter, and height of an equilateral triangle, all based on the length of a side, making geometric calculations much simpler.

Equilateral Triangle Calculator formula

Here are the formulas to calculate the different properties of an equilateral triangle:

• Perimeter = 3 × (side length)
• Area = (√3 / 4) × (side length)^2
• Height = (√3 / 2) × (side length)

Where:

• side length refers to the length of one side of the equilateral triangle.

Equilateral Triangle Calculator examples

Example 1: Perimeter calculation

1. Let’s say we have an equilateral triangle with a side length of 6 cm.
2. To calculate the perimeter, we use the formula:
   Perimeter = 3 × side length
Perimeter = 3 × 6 cm = 18 cm
   Result: The perimeter of this equilateral triangle is 18 cm.

Example 2: Area and height calculation

1. Let’s say we have an equilateral triangle with a side length of 8 cm.
2. To calculate the area, we use the formula:
   Area = (√3 / 4) × (side length)^2
Area = (√3 / 4) × (8 cm)^2 = (√3 / 4) × 64 = 27.71 cm²
3. To calculate the height, we use the formula:
   Height = (√3 / 2) × side length
Height = (√3 / 2) × 8 cm = 6.93 cm
   Result: The area of this equilateral triangle is 27.71 cm², and its height is 6.93 cm.

The Equilateral Triangle Calculator is a helpful tool that allows for quick and easy calculations of various properties of an equilateral triangle.