\(AD\), \(BE\) and \(CF\) are the medians of the triangle \(ABC\). If \(AD \perp BE\), then \(\dfrac{AB}{CF}\) can be expressed as \(\dfrac{p}{q}\) where \(p\) and \(q\) are co-prime positive integers. What is \(p+q\)?

**Details and assumptions**: The picture isn't drawn accurately.

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