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Consider DeltaABC of sides 3,5 and 6. Al...

Consider `DeltaABC` of sides 3,5 and 6. Altitudes AD, BE and CF drawn from vertices A, B and C on sides BC, CA and AB respectively are concurrent at H. If `((HB)(HC) (BC))/(Area(DeltaHBC))=m/sqrtn` where m and n are coprime, then `(m + n)` equals

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