Stewart's Theorem

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.

Related formulas

Variables

bLength of one of the sides of the triangle (m)
mLenth of one of the segments that cevian divides the side a (adjacent to c) (m)
cLength of another side of the triangle ( adjacent to b) (m)
nLenth of one of the segments that cevian divides the side a ( adjacent to b) (m)
aLength of the third side of the triangle ( the base of the triangle) (m)
dLength of the cevian to the side of length a (m)