Finding the Length of Side BC in Triangle ABC

Hard Problem Solving Geometry

In triangle ABC, the lengths of sides AB, AC, and angle A are given as follows:

Statement (1): The length of side AB is 12 units.

Statement (2): The measure of angle A is 60 degrees.

What is the length of side BC?

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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