Posted by: tregor October 8, 2007
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ok guys,let me try to explain this in geometric language.the slope of the red triangle=p/b= 3/8= 0.375 andthe slope of the green triangle=p/b= 2/5= 0.4which shows that the hypotenuse of the whole triangle is not a straight line(the slopes of individual hypotenuses being not equal)now, if you place the triangle with greater slope in the bottom and the one withsmaller slope on the top, it happens to occupy more space beacause of itsconvexity.....notice the small squares in the corner are shaded more in the secondtriangle.the difference happens to be equal to 1 square unit.