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Inequalities in a Triangle - Of All the Lines, that Can Be Drawn to a Given Straight Line from a Given Point Outside It, the Perpendicular is the Shortest.

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  • Corollary 1 : The sum of the lengths of any two sides of a triangle is always greater than the third side.
  • Corollary 2 : The difference between the lengths of any two sides of a triangle is always less than the third side.
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