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2 votes

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.
Mathin3D's user avatar
3 votes

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: ...
Dalias's user avatar
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22 votes

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'
Arsenii Sagdeev's user avatar

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