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13 October, 16:02

Find the length of a diagonal of a regular octahedron if its edges measure 5cm.

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  1. 13 October, 18:45
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    An octahedron is a polyhedron with 8 faces. A regular octahedron is composed of eight equilateral triangles. The horizontal section of an octahedron is a square and the vertical section is a square too. These squares are congruent.

    A diagonal of octahedron is a diagonal of one of those squares:

    d = a √ 2

    where: a = 5 cm

    Answer: d = 5 √ 2 cm
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