Medians of Different Types of Triangles
Median can be drawn to any kind of triangle, such as:
- Equilateral Triangle
- Isosceles Triangle
- Scalene Triangle
Median of Equilateral Triangle
In an equilateral triangle, the median possesses distinct characteristics. The median of an equilateral triangle is a line segment that connects a vertex to the midpoint of the opposite side, bisecting it. Since all sides of an equilateral triangle are equal, the medians from each vertex are also equal in length.
Additionally, all three medians in an equilateral triangle coincide at a single point, known as the centroid. This centroid divides each median in a ratio of 2:1, with the longer segment closer to the vertex. The median of an equilateral triangle is a crucial element in understanding the symmetrical properties and balance within this particular type of triangle.
The formula to find the length of the median of an equilateral triangle depends on the length of its sides.
If ‘s’ represents the length of each side of an equilateral triangle, then the length ‘m’ of the median is calculated using the formula:
m = √3/2 s
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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