Median of a Triangle

Definition of Median of a Triangle

Median of a Triangle is a line segment joining a vertex of the triangle to the midpoint of the opposite side of the triangle.

More About Median of a Triangle

  • The three medians of a triangle are concurrent and the concurrent point is called the centroid of the triangle.
  • The centroid of a triangle divides the medians in the ratio 2:1, i.e. the length of the median from the vertex to the centroid is twice the length of the median from the centroid to the opposite side of the vertex.

Examples of Median of a Triangle

    Examples of   Median of a Triangle

Video Examples: The Medians of a Triangle


Solved Example on Median of a Triangle

Ques: Identify the median of a triangle.

    Examples of   Median of a Triangle
    Choices:
    A. Examples of   Median of a Triangle
    B. Examples of   Median of a Triangle
    C. Examples of   Median of a Triangle
    D. Examples of   Median of a Triangle
    Correct Answer: A

Solution:

    Step 1: Median of a triangle is a line segment from a vertex of the triangle to the midpoint of the opposite side of the triangle.
    Step 2: Examples of   Median of a Triangle is the only median drawn from the vertex A to the midpoint of the opposite side ofExamples of   Median of a Triangle .
    Step 3: So, Examples of   Median of a Triangle is the median of a triangle.