# And that's why I love Geo

Geometry Level 4

Let $$ABC$$ be a triangle with $$AB = AC$$. Let $$D$$ be a point on $$BC$$, and $$E$$ a point on $$AD$$ such that $$\angle BED = \angle BAC = 2\times \angle CED$$. Find the ratio $$\dfrac{BD}{BC}$$ to 3 decimal places.

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