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1970 Canadian MO Problems/Problem 2

Revision as of 03:00, 8 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Given a triangle <math>ABC</math> with angle <math>A</math> obtuse and with altitudes of length <math>h</math> and <math>k</math> as shown in the diagram, prove th...")
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Problem

Given a triangle $ABC$ with angle $A$ obtuse and with altitudes of length $h$ and $k$ as shown in the diagram, prove that $a+h\ge b+k$. Find under what conditions $a+h=b+k$.


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Solution

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