convex quadrilateral divided into 4 similar triangles by diagonals is tangential
Source: 2015 Sharygin Geometry Olympiad Correspondence Round P10
August 2, 2018
geometrysimilar trianglestangential quadrilateral
Problem Statement
The diagonals of a convex quadrilateral divide it into four similar triangles. Prove that is possible to inscribe a circle into this quadrilateral