Which of the following statement(s) is/are not true?

The sum of the lengths of two sides in a triangle is always less than the length of third side.

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The sum of the lengths of two sides in a triangle is more than the length of third side but not always.

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The sum of the lengths of two sides in a triangle is always more than the length of third side.

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The differnce of the lengths of two sides in a triangle is always less than the length of third side.

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Solution

The correct options are
A The sum of the lengths of two sides in a triangle is always less than the length of third side.
B The sum of the lengths of two sides in a triangle is more than the length of third side but not always.
In a triangle:
1) The sum of the lengths of the two sides is always more than the length of the third side.
2) The difference of the lengths of the two sides is always less than the length of the third side.

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