equal circumradii, diagonals of quadr. (Kyiv City Olympiad 2003 9.4)
Source:
June 27, 2021
geometryparallelogramrhombusinradius
Problem Statement
The diagonals of a convex quadrilateral divide it into four triangles. The radii of the circles circumscribed around these triangles are equal. Can such a property have a quadrilateral other than:
a) parallelogram,
b) rhombus?(Sharygin Igor)