## Medians of a Triangle

**How to Find the Medians of a Triangle**

**Median of a Triangle -**The median of a triangle is directly linked to the centroid of a triangle. The median is found by joining any vertex to the midpoint of the side opposite. Since there are three vertices, there is in turn three medians of a triangle. The three medians of the triangle i used are shown above.

Regardless of shape or size, the three medians will always intersect at the one point, called the centroid.

**Properties:**

- Each median divides the triangle into two smaller triangles which have the same area.
- The centroid (the point where the medians meet) is the centre of gravity of the triangle.
- The three medians divide the triangle into 6 smaller triangle that all have the same area, even though they may have different shapes.

**Medians of a Triangle Interactive**