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These triangles are impossible:

-- a triangle with more or fewer than three sides

-- a triangle with more or fewer than three angles

-- a triangle with three interior angles that add up to less than 180 degrees

-- a triangle with three interior angles that add up to more than 180 degrees

-- a triangle with a side that's longer than the sum of the lengths of the other two sides

-- a triangle with one 90-degree angle in it, where the square of the length of the longest side
is not the same as the sum of the squares of the lengths of the other two sides

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Q: How do you determine an impossible triangle?
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