a right-angled triangle can be constructed from the segments AK, CM,MK
Source: 2010 Oral Moscow Geometry Olympiad grades 8-9 p4
August 16, 2020
geometrytriangle inequalityright triangleisosceles
Problem Statement
An isosceles triangle with base is given. Point is the intersection of altitudes. On the sides and , points and are selected, respectively, so that the angle is right. Prove that a right-angled triangle can be constructed from the segments and .