# Passel of Techniques -- 2

Geometry Level 4

Let $$ABC$$ be a triangle in which $$AB = AC$$. Suppose the orthocenter of the triangle lies on the incircle, find the ratio $$\dfrac{ AB }{ BC }$$.

If this ratio can be expressed as $$\frac pq$$, where $$p$$ and $$q$$ are coprime positive integers, submit your answer as $$p+ q$$.

×