Use inner products to prove Apolloniuss Identity: In a triangle withsides of length a

Chapter 6, Problem 31

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Use inner products to prove Apolloniuss Identity: In a triangle withsides of length a, b, and c, let d be the length of the line segment fromthe midpoint of the side of length c to the opposite vertex. Thena2 C b2 D 12 c2 C 2d 2:

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