Median of a Triangle FAQs

What is Median of Triangle Class 9?

In geometry, a median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. It divides the opposite side into two equal segments and plays a significant role in determining the centroid of the triangle.

How Many Medians does a Triangle Have?

A triangle has exactly three medians, one from each vertex. Each median originates from a vertex and connects to midpoint of opposite side, effectively dividing side into two equal parts.

Are Median and Altitude of Triangle Same?

No, median and altitude of a triangle are not same. While both are line segments originating from a vertex and intersecting the opposite side, they serve different purposes. A median divides opposite side into two equal parts, while an altitude is perpendicular to opposite side, representing height of triangle.

How to Find Median of a Triangle with Sides?

To find length of a median of a triangle with known side lengths, one can use formula involving lengths of sides. Depending on which side median is formed on, appropriate formula can be used to calculate its length.

How to Find Median of Triangle with Coordinates?

To find length of a median of a triangle with known coordinates of vertices, one can use midpoint formula to find midpoint of opposite side, then apply distance formula to find length of median.

What are Properties of Median of a Triangle?

• Median divides the opposite side 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.

Is Median of a Triangle Always 90 degree?

No, median does not always are 90 degrees.

What is Median of Triangle Formula?

Formula to find length of a median of triangle with sides ‘a’ is,

[Tex]m_a~=~\frac{1}{2} \sqrt{2b^2 + 2c^2 – a^2}[/Tex]

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.