# Jubayer's circle

Geometry Level 2

In triangle $$\triangle ABC$$, $$AB = 37, AC = 33$$, and $$BC = 39$$. A circle $$\Gamma$$ is drawn with center $$A$$ and radius $$AC$$. Let $$D$$ be the point on $$\Gamma$$ that is furthest from $$B$$. What is the distance $$BD$$?

This problem is posed by Jubayer N.

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