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Non existing altitudes (Posted on 2013-10-03) Difficulty: 2 of 5
Prove that there is no triangle whose altitudes are of length 4, 7, and 10 units.

No Solution Yet Submitted by Danish Ahmed Khan    
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Some Thoughts extension: Altitude inequality. Comment 4 of 4 |
By extension of my solution method we have the following theorem:

In a triangle with altitudes of length x, y, z with x≤y≤z it must be true that xy + xz > yz.

  Posted by Jer on 2013-10-04 09:13:46
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