tangent costruction, circle inside a circle, bisect segment
Source: II All-Ukrainian Tournament of Young Mathematicians, Qualifying p18
May 20, 2021
geometryconstructiontangentUkrainian TYM
Problem Statement
Inside an acute angle is a circle. Investigate the possibility of constructing with only a compass and a ruler, a tangent to this circle that the point of contact will bisect the segment of the tangent that is cut off by the sides of the angle.