Right Tetrahedron: de Gua Theorem

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In a right triangle with legs and and hypotenuse , (Pythagorean theorem).

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In a right tetrahedron with right triangle faces of area , and , (de Gua theorem).

Equivalently, the cuboid has diagonals of length , where .

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Contributed by: Ed Pegg Jr (December 2017)
Open content licensed under CC BY-NC-SA


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