MathDB
2014 SMT Geometry #5

Source:

February 9, 2015
geometrycircumcircletrapezoid

Problem Statement

Let ABCABC be a triangle where ∠BAC=30∘\angle BAC = 30^\circ. Construct DD in △ABC\triangle ABC such that ∠ABD=∠ACD=30∘\angle ABD = \angle ACD = 30^\circ. Let the circumcircle of △ABD\triangle ABD intersect ACAC at XX. Let the circumcircle of △ACD\triangle ACD intersect ABAB at YY. Given that DB−DC=10DB - DC = 10 and BC=20BC = 20, find AX⋅AYAX \cdot AY.
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