Practice Questions on Median of a Triangle

Some practice questions regarding the Median of a triangle are,

Q1: In triangle ABC, if AB = 8 cm and AC = 6 cm, find the length of the median from vertex A to side BC.

Q2: Triangle XYZ has vertices X (1, 2), Y (4, 6), and Z (7, 2). Calculate the length of the median from vertex X to side YZ.

Q3: Determine the length of the median from vertex B to side AC in a triangle where AB = 10 cm, BC = 12 cm, and AC = 14 cm.

Q4: Given triangle PQR with PQ = 15 cm, PR = 20 cm, and QR = 25 cm, find the length of the median from vertex P to side QR.

Q5: Triangle LMN has vertices L(2, 4), M(6, 8), and N(8, 2). Find the length of the median from vertex L to side MN.

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

Similar Reads

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....

Properties of Median of Triangle

Properties of the median of a triangle are:...

Altitude and Median of Triangle

Median of a triangle is a line segment that connects one vertex to the midpoint of the opposite side, dividing that side into two equal parts. It helps in finding centroid, which is center of mass of triangle.Altitude of a triangle is a perpendicular line segment from a vertex to the opposite side or its extension. It represents the height of a triangle and is crucial in determining area of triangle....

Formula of Median of Triangle

Formula for length of first median (ma) of a triangle, where the median is formed on side ‘a’, is given by:...

How to Construct a Median of a Triangle?

We can construct the median of any triangle using following steps:...

Medians of Different Types of Triangles

Median can be drawn to any kind of triangle, such as:...

Conclusion

In conclusion, the median of a triangle is like a special line that helps split the triangle evenly and connects one corner to the middle of the opposite side. It’s really important in figuring out the center of mass of the triangle and has lots of uses in different areas, like building stuff and making computer graphics....

Examples on Median of a Triangle

Some examples on Median of a Triangle are,...

Practice Questions on Median of a Triangle

Some practice questions regarding the Median of a triangle are,...

Median of a Triangle FAQs

What is Median of Triangle Class 9?...

Contact Us