MathDB
isosceles construction given common points of bisectors, medians, altitudes

Source: Sharygin 2011 Final 9.3

December 16, 2018
geometryisoscelesconstructionIsosceles Triangle

Problem Statement

Restore the isosceles triangle ABCABC (AB=ACAB = AC) if the common points I,M,HI, M, H of bisectors, medians and altitudes respectively are given.