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Geometry Problem

Source:

August 11, 2019
geometry

Problem Statement

Let ABAB be a diameter of a circle and let CC be a point on the segement ABAB such that AC:CB=6:7AC : CB = 6 : 7. Let DD be a point on the circle such that DCDC is perpendicular to ABAB. Let DEDE be the diameter through DD. If [XYZ][XYZ] denotes the area of the triangle XYZXYZ, find [ABD]/[CDE][ABD]/[CDE] to the nearest integer.
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