# Median of a Triangle

## Definition

• Median of the triangle: The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a median of the triangle.
• Centroid: The point of concurrency for the medians of a triangle.

## Notes

### Medians Of A Triangle:

• The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a median of the triangle.

• The line segment NM, joining the mid-point of bar(LO) to its opposite vertex L is called a median of the triangle.

• A triangle has 3 medians.

• The centroid is the point where the 3 median meets.

The property of the centroid of a triangle:

• The medians of a triangle are concurrent. Their point of concurrence is called the Centroid and it is denoted by G.
• The centroid of a triangle is located at the intersecting point of all three medians of a triangle
• For all types of triangles, the location of G is in the interior of the triangles.
• The centroid divides each median in the ratio 2: 1.
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