Equilateral Triangles Calculator

Instructions:
  • Enter the side length of the equilateral triangle.
  • Click "Calculate" to calculate the properties of the triangle.
  • View the results in the chart and the detailed calculation section below.
  • Your calculation history will be displayed in the "Calculation History" section.
  • Click "Clear" to reset the calculator and start a new calculation.
  • Click "Copy" to copy the results and calculation history to the clipboard.
Calculation History

An equilateral triangle is one in which all three sides are equal in length. The equilateral triangle calculator is a tool that helps calculate the area, perimeter, height, and other properties of an equilateral triangle. This article will discuss the concepts, formulae, benefits, and interesting facts about the equilateral triangle calculator.

Concepts

Equilateral Triangle

An equilateral triangle is one in which all three sides are equal in length. The three angles of an equilateral triangle are congruent and equal to 60 degrees. The sum of all three angles of an equilateral triangle equals 180 degrees. An equilateral triangle is also called a regular triangle since all its sides are equal.

Conversion

To convert a given length from feet to cm, we multiply the value by 30.48, as there are 30.48 cms in 1 foot. Thus, the feet to cm conversion formula is given as Value (in cm) = 30.48 × Value (in feet).

Height Chart

The usage of feet and inches is more popular in measuring height. So, the feet to cm height conversion chart is explained in the next section. It will also help you to learn feet and inches to cm conversion.

Formulae

Several formulae can be used to calculate the properties of an equilateral triangle. Here are some of them:

Area

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

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

where a is the length of the side of the equilateral triangle.

Perimeter

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

Perimeter = 3 * a

where a is the length of the side of the equilateral triangle.

Height

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

Height = (sqrt(3) / 2) * a

where a is the length of the side of the equilateral triangle.

Other Properties

Other properties of an equilateral triangle include the circumradius, inradius, medians, and altitudes.

Benefits

The equilateral triangle calculator is a useful tool that helps in calculating the properties of an equilateral triangle. It benefits many fields such as mathematics, engineering, and architecture. For example, the equilateral triangle is used in mathematics to teach geometry and trigonometry. In engineering, the equilateral triangle is used to design structures and machines. The equilateral triangle is used in architecture to design buildings and other structures.

Interesting Facts

  • The equilateral triangle is the only regular polygon with three sides.
  • The equilateral triangle is the simplest polygon that is not a regular polygon.
  • The equilateral triangle is used to construct musical instruments such as guitars and violins.
  • The equilateral triangle is used to design traffic signs and road markings.

Last Updated : 13 February, 2024

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