# Equilateral Triangle Calculator

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Lets first understand, what is an equilateral triangle and how we can find different properties of an equilateral triangle?

Triangle

A triangle is a polygon with three edges and three vertices. Triangle is one of the basic shapes in geometry.

Any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

An equilateral triangle is a triangle in which all three sides have the same length. An equilateral triangle is also equiangular, that means, all three internal angles are also congruent to each other and are each 60°.

An equilateral triangle is also a regular polygon, so it is also referred to as a regular triangle.

Formulas

Let the side length of the Equilateral Triangle be \(a\) units.

Altitude of the Equilateral Triangle will be \(\dfrac{\sqrt{3}}{2}a\) units.

Perimeter of the Equilateral Triangle will be \(3a\) units.

Area of the Equilateral Triangle will be \(\dfrac{\sqrt{3}}{4}a^2\) square units.

Inradius of the Equilateral Triangle will be \(\dfrac{\sqrt{3}}{6}a\) units.

Circum-radius of the Equilateral Triangle will be \(\dfrac{a}{\sqrt{3}}\) units.

For calculating different properties of the Equilateral triangle using above Equilateral triangle calculator, you have to just write the values in the given input boxes and press the calculate button, you will get the result.