In geometry, a median of a triangle is a line segment that joins a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangles centroid). The centroid is the point where the three medians meet, and it is also called the center of gravity of the triangle. The median of a triangle has several properties, including:
- It bisects the opposite side, dividing it into two equal parts.
- Each median divides the area of the triangle in half, and hence a triangular object of uniform density would balance on any median).
- The three medians divide the triangle into six smaller triangles of equal area).
It is important to note that the term "median" can also refer to a metric used in statistics. In this context, the median is the middle number in a sorted ascending or descending list of numbers and can be more descriptive of that data set than the average.