inradius wanted, 3 equal inradii related
Source: II Soros Olympiad 1995-96 R2 10-11.6 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 3, 2024
geometryinradiusequal circles
Problem Statement
On sides , and of triangle , points , , are taken, respectively, so that the radii of the circles inscribed in triangles , and are equal to each other and equal to . The radius of the circle inscribed in triangle is equal to . Find the radius of the circle inscribed in triangle .