line passing through circumcenter and orthocenter bisects area and perimeter
Source: Sharygin 2006 finals 9.5
September 12, 2019
geometryarea of a triangleareaperimeterbisectsCircumcenterorthocenter
Problem Statement
A straight line passing through the center of the circumscribed circle and the intersection point of the heights of the non-equilateral triangle divides its perimeter and area in the same ratio.Find this ratio.