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Apollonius's theorem

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Elementary mathematics Elementary geometry Euclidean geometry
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Apollonius's theorem is a result in geometry that relates the lengths of the sides of a triangle to the length of a median. Specifically, the theorem states that in any triangle, the square of the length of a median is equal to the average of the squares of the lengths of the two sides that the median divides, minus one-fourth the square of the length of the third side.

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