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Oznaczmy długość krawędzi sześcianu jako a.

Odcinek WB to połowa przekątnej kwadratu o boku a, możemy więc zapisać jego długośc:

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Rysunek pomocniczy:

$\"podglad$

Łatwo zauważyć, że

Korzystając z twierdzenia cosinusów otrzymujemy:

"}}]]}]]}]],"segment":""},"rootLayoutIncluded":true}]]],"segment":["page","165","d"]},"rootLayoutIncluded":true}]]}]],"segment":["bookId","11535","d"]},"rootLayoutIncluded":true}]}]]}]]}]]}]

MATeMAtyka 3. Zakres rozszerzony. Po gimnazjum

Matematyka / Podręcznik / Nowa Era

Ćwiczenie 5

Ćwiczenie 6