Determining Triangle Properties

Medium Data Sufficiency Analyzing Information

In a certain triangle, the lengths of the sides are represented by $a$, $b$, and $c$. The triangle is not necessarily equilateral.

Statement (1): The sum of the lengths of two sides is greater than the length of the third side.

Statement (2): The perimeter of the triangle is 30 units.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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