# Easy but Thought-Provoking

Geometry Level 3

In the diagram, point $$A$$ outside a circle with center $$O$$.

Draw tangents $$AB, AC$$ to the circle, and line $$ADE$$ intersects $$(O)$$ at $$D, E$$ such that, $$BE$$ and $$AC$$ are parallel.

$$BD$$ intersects $$AC$$ at $$I$$.

Let $$S$$ be the point on $$AO$$ such that $$BSIA$$ (the yellow quadrilateral) is concylic.

Find $$\dfrac{SA}{SO}$$.

×