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Lesson: Data Sufficiency Intermeddiate - 20t01

Geometry in Data Sufficiency, With a Diagram

[Page 20 of 21]

Let's try another one. Answer the question, then click Continue.

In the triangle, does
Check Statement (1) BY ITSELF is sufficient, but statement (2) by itself is not sufficient. Wrong Statement (2) BY ITSELF is sufficient, but statement (1) by itself is not sufficient. Wrong Both statements TAKEN TOGETHER are sufficient, but NEITHER statement BY ITSELF is sufficient. Wrong EACH statement BY ITSELF is sufficient. Wrong The two statements TAKEN TOGETHER are NOT Sufficient.

Countinue

Focus on the question stem.

Did you recognize that the stem is asking whether or not the triangle is a right triangle? Diagrams in Data Sufficiency are not drawn to scale unless so specified. Do not use the diagram to answer the question. Use the statements.

Evaluate each statement separately.

Statement (2) is shorter so begin there. Knowing that does not give you enough information to tell us the value of either of the other two angles, so we can't know whether this is a right triangle. The statement is insufficient, so eliminate Choices (B) and (D).

Statement (1) is sufficient.

If then

Therefore, , which means that we have a right triangle.

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