# What is the centroid of a triangle with corners at #(5, 2 )#, #(2, 5 )#, and #(5,3 )#?

##### 1 Answer

#### Explanation:

Construct a **Triangle **

In a triangle, a **Median** is a **line joining a vertex with the mid-point of the opposite side.**

A triangle has three sides, so every triangle has **exactly three medians**, each **running from one vertex to the side exactly opposite.**

Let the **Mid-Points** of the line-segments

Connect:

**The medians of a triangle are concurrent** and **the point of concurrence is the Centroid**.

To find the **Centroid of a triangle**, you can use the formula:

We have,

Some interesting properties of **Centroid:**

The **Centroid divides the length of each median in 2:1 ratio**.

Also, observe that **the three medians of a triangle divide the triangle into six triangles that are all equal in area.**

Hope it helps.