Centroid of Equilateral Triangle
Centroid of the triangle also called the centre of the triangle is a point which is at the centre of the triangle. This point is equidistant from all three vertices of the triangle. For an equilateral triangle, as all the sides are equal in length, it is easy to find the centroid for it.
If we draw perpendicular from all the vertices of the equilateral triangle to their opposite sides the point where they all meet is the centroid of the equilateral triangle.
We know that the meeting point of all three perpendiculars of the triangle is called the orthocentre of the triangle. Thus, for an equilateral triangle, the Centroid and Orthocentre are the same points.
For any equilateral triangle ABC its centroid is denoted using point A in the image added below,
In equilateral triangle with length “a” the distance from the centroid to the vertex is equal to √(3a/3)
Equilateral Triangle
Equilateral Triangle is a triangle with all three sides and all three angles equal. As we know a triangle has three angles and three sides, thus in an equilateral triangle all three sides and all three angles are equal. Hence, it is also called a equiangular triangle.
Where each angle measures 60 degrees, similar to other types of triangles. The word equilateral is made of two words “equi” and “lateral” where equi means equal and lateral means side. Thus equilateral triangle means a triangle with equal sides. In this article, we learn about equilateral triangles, their properties of equilateral triangle, their formulas of equilateral triangle, and others in detail.
Table of Content
- What is an Equilateral Triangle?
- Equilateral Triangle Angles
- Equilateral Triangle Formulas
- Shape of Equilateral Triangle
- Properties of Equilateral Triangles
- Equilateral Triangle Theorem
- Equilateral Triangle Formulas
- Height of Equilateral Triangle
- Perimeter of Equilateral Triangle
- Area of Equilateral Triangle
- Area of Equilateral Triangle using Heron’s Formula
- Centroid of Equilateral Triangle
- Circumcenter of Equilateral Triangle
- Equilateral Triangle Symmetry
- Rotational Symmetry
- Reflection Symmetry
- Difference Between Scalene, Isosceles, and Equilateral Triangles
- Examples on Equilateral Triangle
- Practice Questions on Equilateral Triangle