Properties of Median of Triangle
Properties of the median of a triangle are:
- Median of a triangle bisects the opposite side, dividing it into two equal segments.
- Each triangle has exactly three medians, one from each vertex.
- Medians of a triangle intersect at a single point called the centroid, which is the triangle’s center of mass.
- Centroid divides each median in a ratio of 2:1, with the longer segment closer to the midpoint of the opposite side.
- Centroid of a triangle is also the centroid of its three vertices, meaning it’s the balance point if the triangle were made of a uniform material.
Median of a Triangle
Median of a Triangle is a line segment that joins a vertex of a triangle to the midpoint of the opposite side. A median divides the joining into two equal parts. Each triangle has three medians, one originating from each vertex. These medians intersect at a point called the centroid, which lies within the triangle.
In this article, we will learn about, Median of Triangle Definition, Properties of Median of Triangle, Examples related to Median of Triangle, and others in detail.
Table of Content
- What is Median of a Triangle?
- Properties of Median of Triangle
- Altitude and Median of Triangle
- Formula of Median of Triangle
- How to Find Median of Triangle with Coordinates?
- Length of Median Formula
- Median of Equilateral Triangle