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In triangleABC, the length of sides AB, ...

In `triangleABC`, the length of sides AB, BC and CA are 13 cm, 14 cm, and 15 cm, respectively. Let `H` be the orthocenter of the `triangleABC` and AD is perpendicular to BC. The distance from H to the center of the circle circumscribing `triangleABC` may be written in simplified form as `sqrt(p)/q`. Determine the value of `p+q`

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