locus of incenters & vertices of triangles with given side
Source: Sharygin Geometry Olympiad 2017 First Round P5 grades 8-9 [a for 8, b for 8-9]
July 22, 2018
geometryLocusacute triangleincenter
Problem Statement
A segment is fixed on the plane. Consider all acute-angled triangles with side . Find the locus of
а) the vertices of their greatest angles,
b) their incenters.