Table of Contents

## Centroid of a Triangle Formula

- The centroid of a triangle is the point where the three medians intersect. The centroid is also the point where the triangle’s bisectors intersect. The centroid can be found using the following formula:
- The coordinates of the centroid are (0,0), (x,y), and (x+y,y-x).

## Difference between a Median and Centroid

- The median is the middle value in a set of data, while the centroid is the mathematical point at which the total of the distances from the data points to the line of symmetry is minimized.
- A median is a value that divides a data set into two equal parts. The median is the middle value in a data set when it is arranged in ascending order. The median is also the average of the two middle values when the data set is arranged in descending order. A centroid is the point in a two-dimensional figure that is the average of the points of the figure.

## Properties of the Centroid of a Triangle

The centroid is the point at which the three medians of a triangle intersect. It is equidistant from the vertices of the triangle and has a coordinates of (0,0). The centroid is also the center of gravity of the triangle.

## The Formula of Centroid of a Triangle

The centroid of a triangle is the point where the three medians intersect. The centroid is located at the point (\frac{x_1}{3}, \frac{y_1}{3}, \frac{z_1}{3}), where x_1, y_1, and z_1 are the coordinates of the vertices.

### Derivation of Formula of Centroid of a Triangle

The centroid of a triangle is the point where the triangle’s three medians intersect. We can find the centroid using the following formula:

The coordinates of the centroid are (x, y).

### Infinity Learn App

Now you can find answer to all your subject queries & prepare for your Exams on our test preparation app – Infinity Learn.