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Minimum area of a triangle (Posted on 2008-07-30) Difficulty: 3 of 5
Find the minimum area of a triangle whose sides and altitudes are six different integers.

See The Solution Submitted by pcbouhid    
Rating: 2.0000 (2 votes)

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Question re: Computer Solution | Comment 2 of 10 |
(In reply to Computer Solution by Bractals)

Am I missing something?

By definition of a triangle's altitude, h_a would be perpendicular to side a.  This would mean, in accordance to Pythagoras, that
a1 = SQRT((75)2 - (60))2) and a2 = SQRT((100))2 - (60))2), where a = a1 + a2.  Thus a1 and a2 equals 45 and 80, respectively, which means side a should equal 125, not 35. 


  Posted by Dej Mar on 2008-07-30 15:04:45
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