inradius of triangle with vertices feet of altitudes, circumcenter, centroid
Source: VII Soros Olympiad 2000-01 Round 1 , 10.4
July 4, 2021
geometryinradiusCentroid
Problem Statement
An acute-angled triangle is inscribed in a circle of radius . The distance between the center of the circle and the point of intersection of the medians of the triangle is . Find the radius of a circle inscribed in a triangle whose vertices are the feet of the altitudes of this triangle.