Solved Problems: Indian Statistical Institute (ISI), Chennai Mathematical Institute (CMI), IIT-JEE Main & Advance, and Olympiads (RMO/INMO).
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ABC is a triangle with AB = 13; BC = 14 and CA = 15. AD and BE are the altitudes from A and B to BC and AC respectively. H is the point of intersection of AD and BE. Find the ratio HD/HB.
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