July 2023
Problem of the Month

Circle Problem
Submitted by Brijesh Dave

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 ?

Send your solution by the end of the month to: mathpage@gmail.com