What is Median of a Triangle?
Median of a triangle is a line segment that connects one vertex of the triangle to the midpoint of the opposite side. In other words, it divides the opposite side into two equal parts. For example, in the given figure where AD is the median, it connects vertex A to the midpoint of side BC, splitting BC into two equal segments BD and DC. This characteristic holds for all triangles, regardless of their size or shape.
Median of a triangle plays a significant role in geometry, helping to identify important properties and relationships within the triangle.
Definition of Median of Triangle
Median of a triangle is a line segment that joins one vertex to midpoint of opposite side, dividing side into two equal parts. Three medians in a triangle, each originating from a vertex and intersecting at the centroid, the triangle’s center of mass.
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
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