What is Apolonious Theorem ?
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In geometry, Apollonius's theorem is a theorem relating the length of a median of a triangle to the lengths of its sides. It states that "the sum of the squares of any two sides of any triangle equals twice the square on half the third side, together with twice the square on the median bisecting the third side".
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Consider triangle ABC
draw a altitude which is perpendicular. to BC
AD
now AB square + AC square = 2BD square + 2AD square
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