MathDB

2

Part of 2008 Junior Balkan MO

Problems(1)

Equilateral triangle and an unit circle

Source: JBMO 2008 Problem 2

6/25/2008
The vertices A A and B B of an equilateral triangle ABC ABC lie on a circle kk of radius 11, and the vertex C C is in the interior of the circle k k. A point D D, different from B B, lies on k k so that AD\equal{}AB. The line DC DC intersects k k for the second time at point E E. Find the length of the line segment CE CE.
geometrytrigonometryangle bisectorperpendicular bisectorpower of a pointgeometry proposed