# 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: $$a^2\cdot m+b^2\cdot n=x^2\cdot c+c\cdot m\cdot n$$.
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