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The triangle inequality theorem describes the relationship between the three sides of a triangle. For any triangle, the sum of lengths of two sides is always greater than the third side. In other words, this theorem specifies that the shortest distance between two distinct points is always a straight line.


Consider a ∆ABC as shown below, with a, b and c as the side lengths.

The triangle inequality theorem states that:

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https://spcpasig.gnomio.com/pluginfile.php/15/course/summary/Triangle%20Inequalitites.pptx?time=1743406882612