Length of internal bisector of an angle in triangle in relation to the opposite segments

Description

In geometry, bisection is the division of something into two equal or congruent parts, usually by a line, which is then called a bisector. If the internal bisector of an angle in a triangle divides the side opposite that angle into two segments, then the length of the bisector can be calculated by the lengths of the segments and the lengths of the other two sides of the triangle.

Related formulas

Variables

taBisector of angle A to the ABC triangle (m)
bSide of the triangle opposite to angle B (m)
cSide of the triangle opposite to angle C (m)
mOne of the segments that bisector divides the side opposite A (m)
nThe other of the segments that bisector divides the side opposite A (m)