diagonals cut a convex in 4 similar triangles, 2 congruent triangles cut also
Source: Sharygin Final 2007 8.3
April 30, 2019
geometrysimilar trianglescongruent trianglesconvex quadrilateral
Problem Statement
The diagonals of a convex quadrilateral dissect it into four similar triangles.
Prove that this quadrilateral can also be dissected into two congruent triangles.