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Triangles with no area (Posted on 2009-12-30) Difficulty: 1 of 5
A little disconcertingly I generated the data of a triangle with integral sides in a spreadsheet. The area calculation suggested that it had zero area.

Knowing there was an obvious contradiction I wrote a computer listing to see if there were others which fitted this situation, and yes, there was an infinite number.

Clearly I am doing something wrong, explain.

See The Solution Submitted by brianjn    
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re(2): most likely way | Comment 3 of 9 |
(In reply to re: most likely way by brianjn)

Alternative explanation: You used calculus (integration) on the linear equations of the lines, and exactly half the area was below the x-axis and half above, and the "negative area" exactly balanced the "positive area" and so looked to be zero.
  Posted by Charlie on 2009-12-30 19:18:44

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