High Quality Content by WIKIPEDIA articles! In geometry, Apollonius' theorem is a theorem relating the length of a median of a triangle to the lengths of its sides. Specifically, in any triangle ABC, if AD is a median, then AB^2 + AC^2 = 2(AD^2+BD^2)., It is a special case of Stewart's theorem. For an isosceles triangle the theorem reduces to the Pythagorean theorem. From the fact that diagonals of a parallelogram bisect each other, the theorem is equivalent to the parallelogram law.

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