Calculate the bisector
Online calculator for calculating the bisector (median) of triangles
The median or bisector of a triangle is a line segment, that connects a corner point with the center point of its opposite side. This function calculates the length of the bisector.
More information about bisecting lines can be found at the bottom of this page.
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Formulas for calculating the bisecting line
The median or bisector of a triangle is a line segment that connects a corner point with the midpoint of its opposite side
Since the median of a triangle can be drawn from any corner point, each triangle has three medians
Unlike heights, medians do not form a right angle with the side they intersect
A bisector cuts the triangle into two smaller triangles of equal area and height
An angle bisector of a triangle is a straight line through a vertex which cuts the corresponding angle in half. The three angle bisectors intersect in a single point, the incenter, usually denoted by I, the center of the triangle's incircle. The incircle is the circle which lies inside the triangle and touches all three sides. Its radius is called the inradius.
The centroid cuts every median in the ratio 2:1, i.e. the distance between a vertex and the centroid is twice the distance between the centroid and the midpoint of the opposite side.
P is the centroid cuts the medians in a ratio of 2:1
The lengths of bisectors of triangles \(a \), \(b \) and \(c \) are calculated using the following formulas
\(\displaystyle Pa=\frac{\sqrt{2(b^2+c^2)-a^2}}{2}\)
\(\displaystyle Pb=\frac{\sqrt{2(c^2+a^2)-b^2}}{2}\)
\(\displaystyle Pc=\frac{\sqrt{2(a^2+b^2)-c^2}}{2}\)
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