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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