

Online Geometry Problem 805: Stewart's Theorem, Triangle, Sides, Cevian,
Metric Relations, Measurement. Level: High School,
SAT Prep, College,
Mathematics Education

Let be given a triangle ABC and a point
D on AB such that m = AD, n = BD, and x = CD. Then Stewart's theorem,
also called Apollonius' theorem, states that: \(a^2\cdot m+b^2\cdot n=x^2\cdot c+c\cdot m\cdot n \).







