max triangle area, starting with intersecting circles
Source: 2007 Oral Moscow Geometry Olympiad grades 10-11 p2
October 19, 2020
geometrycirclesarea of trianglemax
Problem Statement
Two circles intersect at points and . Point lies on the first circle, but outside the second. Lines and intersect the second circle at points and , respectively. Indicate the position of point at which triangle has the largest area.(D. Prokopenko)