De Gua's Theorem, Pythagorean theorem in 3-D. Level: High School, SAT Prep, College geometry

In any tetrahedron with a cubic vertex O-ABC the square of the area of the face opposite the cubic vertex O-ABC is equal to the sum of the squares of the areas of the other three faces AOB, AOC, BOC.

 

 

 

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Last updated: July 29, 2007