MathDB
equal segments starting with a rectangle and a circle

Source: May Olympiad (Olimpiada de Mayo) 2010 L2

September 11, 2018
geometryrectangleequal segments

Problem Statement

Let ABCDABCD be a rectangle and the circle of center DD and radius DADA, which cuts the extension of the side ADAD at point PP. Line PCPC cuts the circle at point QQ and the extension of the side ABAB at point RR. Show that QB=BRQB = BR.