Relation between internal bisectors of angles A, B, and C of a triangle and its sides

Description

An angle bisector divides the angle into two angles with equal measures. An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. If the internal bisectors of angles A, B, and C of a triangle have lengths ta, tb, and tc, there is a relation between the bisectors and the sides of the triangle a, b, c.

Related formulas

Variables

bSide of the triangle (opposite angle B) (cm)
cSide of the triangle (opposite angle C) (cm)
taInternal bisector of angle A (cm)
aSide of the triangle (opposite angle A) (cm)
tbInternal bisector of angle B (cm)
tcInternal bisector of angle C (cm)