the difference of the length of any two sides is less than the third side
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∠1>∠4 because Exterior angle is always greater than respective interior angle. Similarly, ∠2>∠3. Therefore ∠1>∠3 and BC>DC as size opposite to greater angle are also greater in length. Hence it is proved that either side of triangle is always greater than difference of remaining two sides.
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the statement is true.....
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