# Sum of two reciprocals

Geometry Level 4

Let ABC be an isosceles triangle where $$AB=AC=1$$. D and E are the midpoints of AB and AC respectively. Two lines are projected from points B and C and meet an extended DE at arbitrary points F and G respectively such that $$BC=FG$$. If they cut AC and AB at points P and Q respectively, $$\frac{1}{BQ} + \frac{1}{CP}$$ = $$?$$

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