MathDB
Medium 2

Source: May Olympiad(Olimpiada de Mayo) 2008

April 25, 2018
geometrycircumcircle

Problem Statement

Let ABFABF be a right-angled triangle with AFB=90\angle AFB = 90, a square ABCDABCD is externally to the triangle. If FA=6FA = 6, FB=8FB = 8 and EE is the circumcenter of the square ABCDABCD, determine the value of EFEF