isosceles trapezoid construction given 3 semgents, equal inradii
Source: 2017 XX All-Ukrainian Tournament of Young Mathematicians named after M. Y. Yadrenko, Qualifying p1
May 6, 2021
geometrytrapezoidisoscelesconstructionUkrainian TYM
Problem Statement
In an isosceles trapezoid with bases and , diagonals intersect at point , and lines and intersect at point . and are the centers of the circles circumscribed around the triangles and , is the radius of these circles. Construct the trapezoid ABCD given the segments , and radius .