Median (geometry)

Description for calculating the bisector of a triangle (median)


A triangle has different line segments with an intersection. One of the line segments is the median.

  • The median of a triangle is a line segment that connects a vertex to the midpoint of its opposite side

  • Since the median of a triangle can be drawn from any vertex, every triangle has three medians

  • Unlike heights, medians do not form a right angle with the side they intersect

  • A bisectors divides the triangle into two smaller triangles of the same area and height

  • The point of parallelism of the three medians of a triangle is called the center of gravity

  • The center of gravity is always within the triangle and divides the bisector in a ratio of 2:1. The distance from each vertex to the center of gravity of the triangle is twice as long as the distance to the opposite side.


P is the center of mass that divides the medians in a ratio of 2:1

The lengths of the bisectors of the triangle \(a\), \(b\) and \(c\) are calculated using the following formulas


Angle bisector
Median
Altitude and the Orthocenter
Triangle bisector
Pythagorean theorem
Pythagorean triples
Circle
Square
Rectangle
Rhombus
Parallelogram
Trapezoid

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