Triangle ABC has AC=13, AB = 15 and BC =...

Triangle `ABC` has `AC=13, AB = 15 and BC = 14.` Let `'O'` be the circumcentre of the `DeltaABC.` If the length of perpendicular from the point `'O'` on `BC` can be expressed as a rational `m/n` in the lowest form then find `(m +n).`

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