Perpendicular Platonic solid
Geometry
Level
3
There are five platonic solid. How many of these has two edges that perpendicular each other? (perpendicular edges don't have to meet each other)
For example cube has edges that are perpendicular.
The answer is 5.
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1 solution
they all have!
here are some images that shows how edges are perpendicular.
tetrahedron
cube (well obvious)
octahedron
dodecahedron
icosahedron
this is not technically a proof and you can strictly prove using coordinate or vector but this will give some idea.