About Equilateral Triangle

Triangle in which all the sides are equal in length is called Equilateral Triangle.

This property of three sides being equal in length makes it a very special case for the rest of parameters in a triangle.

Following is a diagram of Equilateral triangle.

By knowing just a side length, we can define the Equilateral Triangle.

Properties of Equilateral Triangle

Property 1

Of course, by the definition of equilateral triangle, all sides are equal in length.

Property 2

All the three angles in an equilateral triangle are equal and are equal to 60 degrees.

Property 3

In an equilateral triangle, all the altitudes are perpendicular bisectors of the sides they cut respectively.

Property 4

In an equilateral triangle, all the altitudes bisect the angles at the vertices respectively.

Property 5

In an equilateral triangle, centroid, circumcenter and incenter are same.