Stewart’s theorem


Let be given a triangle ABC with AB=c, BC=a, CA=b, and a point X on BC such that BX=m and XC=n. Denote with p the length of AX.

Then

a(p2+mn)=b2m+c2n.
Title Stewart’s theorem
Canonical name StewartsTheorem
Date of creation 2013-03-22 11:44:07
Last modified on 2013-03-22 11:44:07
Owner drini (3)
Last modified by drini (3)
Numerical id 11
Author drini (3)
Entry type Theorem
Classification msc 51-00
Classification msc 65-00
Classification msc 81-00
Related topic ApolloniusTheorem
Related topic CosinesLaw
Related topic ProofOfStewartsTheorem
Related topic StewartsTheorem
Related topic ProofOfApolloniusTheorem2