# Is this information enough?

Geometry Level 4

Let $$ABC$$ be a triangle in which $$AB=AC$$. Suppose the orthocenter of the triangle lies on the incircle. If the value of $$\dfrac{AB}{BC}$$ can be expressed as $$\dfrac ab$$, where $$a$$ and $$b$$ are coprime positive integers, entre your answer as $$a+b$$.

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