Determining the Length of the Third Side of a Triangle

Medium Problem Solving Geometry

In a triangle, the lengths of two sides are given as follows:

Statement (1): The length of the first side is 10 units.

Statement (2): The length of the second side is 7 units.

Is it possible to determine the length of the third side of the triangle?

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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