Problem #WSP-00493

Problems Geometry Plane geometry Triangles Similar triangles

Problem

A circle with centre A has the point B on its circumference. A smaller circle is drawn inside this with AB as a diameter and C as its centre. A point D (which is not B) is chosen on the circumference of the bigger circle, and the line BD is drawn. E is the point where the line BD intersects the smaller circle.

Show that |BE|=|DE|.

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