Let segment AB be a diameter of a circle and C be a point on segment AB with 2 (AC) = BC. Let D and E be points on the circle such that DC ⟂ AB and segment DE is a second diameter.

What is the ratio of the area of △DCE to the area of △ABD ?





Solution to the Problem:


The ratio is 1/3 or 1:3.





Click here for Carlos de Armas' excellent solution


Correctly solved by:

1. K.Sengupta Calcutta, INDIA
2. Kelly Stubblefield Mobile, Alabama
3. Colin (Yowie) Bowey Beechworth, Victoria, Australia
4. Carlos de Armas Barcelona City, Spain
5. Seth Cohen Concord, New Hampshire
6. Rob Miles Northbrook, Illinois