Determining the Length of the Hypotenuse in a Right Triangle

Medium Problem Solving Geometry

Triangle PQR is a right triangle where angle P is the right angle. The length of side PQ is represented as $x$ units, and the length of side PR is represented as $y$ units.

What is the length of the hypotenuse QR?

Statement (1): The length of side PQ is 6 units.

Statement (2): The length of side PR is 8 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.

Hint

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