Triangle ABC: Finding Side AB

Hard Problem Solving Geometry

In triangle ABC, angle A is a right angle. The length of side AC is 6 units, and the length of side AB is unknown.

Statement (1): The area of triangle ABC is 18 square units.

Statement (2): The length of side BC is 10 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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% Correct72%