Stewart's Theorem ( for triangle's bisectors)

Description

Stewart’s theorem yields a relation between the length of the sides of the triangle and the length of a cevian of the triangle. A cevian is any line segment in a triangle with one endpoint on a vertex of the triangle and the other endpoint on the opposite side.If the cevian happens to be an angle bisector, its length can be determined by the length of the triangle’s sides and the length of the segments that bisector divides the opposite side.

Related formulas

Variables

bLength of one of the sides of the triangle (m)
cLength of another side of the triangle ( adjacent to b) (m)
aLength of the third side of the triangle ( the opposite side of the bisector's angle) (m)
dLength of the bisector (m)
mLenth of one of the segments that bisector divides the side a (adjacent to c) (m)
nLenth of one of the segments that bisector divides the side a ( adjacent to b) (m)