We say that a triangle tiles the polygon if can be decomposed into finitely many nonoverlapping triangles similar to . Let be a regular pentagon. In this paper we prove that a right triangle tiles if and only if this triangle has an acute angle .
Zhanjun Su. Lingnan He. "Tilings of regular pentagons with similar right triangles." Rocky Mountain J. Math. 50 (5) 1853 - 1857, October 2020. https://doi.org/10.1216/rmj.2020.50.1853