New answers tagged polyhedra
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Is there a pyramid with all four faces being right triangles?
Giving this StackExchange one last try.
In addition to the answer posted with triangular base, here is an example with a square base:
Use two 3-4-5 right triangles and two 3-5-sqrt(34) triangles.
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Is there a pyramid with all four faces being right triangles?
If by pyramid, you mean the shape with a square base and four triangular sides, and you want the right angles all where the triangles meet, there is a solution, but it is degenerate.
Sample Vertices:
...
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Is there a pyramid with all four faces being right triangles?
This picture of a quadrirectangular tetrahedron is from István Lénárt, `The Right Triangle as the Simplex in 2D Euclidean Space, Generalized to $n$ Dimensions'
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