Right Triangle Evaluation

Very Hard Data Sufficiency Determining Sufficiency

Consider a triangle with sides of lengths $a$, $b$, and $c$. We want to determine if the triangle is a right triangle.

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

Statement (2): The square of the length of the longest side is equal to the sum of the squares of the other two sides.

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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% Correct94%