The faces of a convex polyhedron are similar triangles. Prove that this polyhedron has two pairs of congruent faces.
Problem
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Tags: combinatorial geometry, geometry, convex polyhedron, polyhedron, similar triangles
Source:
Tags: combinatorial geometry, geometry, convex polyhedron, polyhedron, similar triangles
The faces of a convex polyhedron are similar triangles. Prove that this polyhedron has two pairs of congruent faces.