MEDIAN IN THE TRIANGLE
The line segment that joins the midpoint of one side of the triangle to the opposite corner is called the median.
In a triangle, three sides intersect at one point, which is the center of gravity of the triangle.
The distance of the center of gravity of a triangle to a corner is 2/3 of the median that passes through that corner and 1/3 the distance to the point where it intersects the edge.
The length between the midsole of an edge and its center of gravity in a triangle is one-sixth of the median of that side.
It is the length of the line segment between the median and the height of the same side in a triangle.
A triangle ABC has a relation between these lengths, the side lengths a, b, c, and the median.
Let’s reinforce the subject with solved tests after the subject explanation of median relations in YKS Geometry triangle.