Re: SAT question



"In a nondegenerate triangle, the strict
inequality has to hold for all three sides. "

This is part of the difficulty. The problem only said
'triangle'. It did not say "non-degenerate triangle".

One definition of triangle is:

The union of 3 line segements where every pair of line segments meets
at their endpoints.

Under this definition, a triangle of area 0 is still a triangle.

The problem was badly posed.

.



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