Centroid of Triangle Formula: Definition, Properties and Solved Example

The centroid of triangle Formula is the point where its medians intersect. Before delving into this point of intersection, let's examine the concept of medians in a triangle. Medians are line segments drawn from each vertex to the midpoint of the opposite side. Remarkably, each median divides the triangle into two smaller triangles of equal area. The point where these medians intersect is known as the centroid. Unlike other points of intersection in a triangle, the centroid always resides within the triangle.

What is the Centroid of a Triangle?

Centroid of Triangle Properties

• The centroid serves as the geometric center of the entity.
• It materializes as the precise intersection point for all three medians of the triangle.
• The centroid divides each median in a consistent 2:1 ratio.
• This pivotal point always resides within the confines of the triangle itself.

Also Check - LCM and HCF Formula

Centroid of Triangle Formula

Also Check - Area of a Hexagon Formula

Difference Between Orthocenter and Centroid of Triangle

Difference Between Incentre and Centroid of Triangle

Important Notes on Centroid of Triangle

• The point where the medians of a triangle intersect is known as the centroid.
• It invariably resides within the triangle's boundaries.
• The centroid divides each median in a consistent ratio of 2:1.

Also Check - Area of a Rectangle Formula

Centroid of a Triangle Examples