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.