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.

Example of Median of a Triangle

Solved Example on Median of a Triangle

Identify the median of a triangle.

Choices:
A.
B.
C.
D.
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: is the only median drawn from the vertex A to the midpoint of the opposite side of .
Step 3: So, is the median of a triangle.

Related Terms for Median of a Triangle

  • Centroid
  • Line Segment
  • Median
  • Midpoint
  • Side
  • Triangle