What is a median in a triangle?
Every triangle has 3 medians, one from each vertex.
Answer: A line segment, joining a vertex to the mid-point of the side, opposite to that vertex, is called the median of a triangle.
Let's explore more about medians.
The line joining the midpoint of a side to the opposite vertex of a triangle is called the median of the triangle.
Here, AD is median ⇒ BD = DC
- Each median of a triangle divides the triangle into two smaller triangles that have equal areas.
- In fact, the 3 medians divide the triangle into 6 smaller triangles of equal area.
- The 3 medians always meet at a single point, no matter what the shape of the triangle is.
- That common point of intersection of medians is called the centroid.