triangle construction given centroid, incenter, touchpoint of incircle with side
Source: 2016 XIX All-Ukrainian Tournament of Young Mathematicians named after M. Y. Yadrenko, Qualifying p14
May 6, 2021
geometryincenterconstructionCentroidUkrainian TYM
Problem Statement
Using only a compass and a ruler, reconstruct triangle given the following three points: point the intersection of its medians, point is the center of its inscribed circle and the point is touch point of the inscribed circle to side .