How to find the bisector of a triangle

Bisector arbitrary triangle

a , b , c blue    -  sides

c1c2 blue  - line segments  obtained by dividing the bisector

Y red  - angle ABC  divided by a bisector in half

s orange  - semiperimeter    

s (abc)2 orange2

L  - bisector  segment |OB|, dividing the angle ABC in half

 

Calculate the length of a bisector of a triangle if given two sides and angle  ( L  ) :

Bisector arbitrary triangle F1

 

Calculate the length of a bisector of a triangle if given all sides ( L  ) :

Bisector arbitrary triangle F3

Bisector arbitrary triangle F2

Bisector arbitrary triangle F4