MathDB

P5

Part of 2017 Sharygin Geometry Olympiad

Problems(1)

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]

7/22/2018
A segment ABAB is fixed on the plane. Consider all acute-angled triangles with side ABAB. Find the locus of а) the vertices of their greatest angles, b) their incenters.
geometryLocusacute triangleincenter