ElaircarAriasoft
ElaircarAriasoft ElaircarAriasoft
  • 13-10-2016
  • Mathematics
contestada

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

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HomertheGenius
HomertheGenius HomertheGenius
  • 20-10-2016
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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