MathDB
Equilateral triangles (quite easy)

Source: Taiwan NMO 2006

March 21, 2006
trigonometrygeometry proposedgeometry

Problem Statement

Given a line segment AB=7AB=7, CC is constructed on ABAB so that AC=5AC=5. Two equilateral triangles are constructed on the same side of ABAB with ACAC and BCBC as a side. Find the length of the segment connecting their two circumcenters.