[img]http://i.imgur.com/NC8ZMTj.png[/img]

1. Equilateral triangle ABC has sides of 3 cm. Points D,E, and F are located as indicated. Find DE. What kind of triangle is triangle BEF.

2. Equilateral triangle ABC is inscribed in the the circle O. with the segment BE perpendicular to segment AC. Find BD.

3. Find the area of triangle DEF.