Determine the Length of Side in Triangle XYZ

Medium Problem Solving Geometry

In triangle XYZ, the length of side XY is 12 units, and the length of side XZ is 16 units.

What is the length of side YZ?

Statement (1): The angle opposite to side YZ is 30 degrees.

Statement (2): The angle opposite to side XY is 45 degrees.

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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